Writing formulas without concrete examples are like recipes for food you've never tasted. Rote instructions do not explain the 'flavor' or even the goal. You need to apply the formula to works you already know.
Pick a concrete example – if the formula is supposedly 'universal' than literally every story ever written can be deconstructed to match it. In reality that formula is very University of California Film School so pick any mainstream film from the last 35 years.
I'll compare James Cameron's Titanic to your formula and see how it goes.
At some point in the hero's past, the ghost happens, which leads to
them believing a lie.
Said lie leads to their life that they have when we meet them on page
1.
When we meet the hero, we realize that they want something, but they
are held back by their lie or the lie/ misbelief has created a lack of
something that they wish to overcome (want) but the hero can't because
she is clinging to the lie.
The 'hero' protagonist is Rose, starting at rock bottom in a negative status quo because she has no control over her life. Her mother (an antagonist) has arranged marriage to a man Rose doesn't like (another antagonist). Rose is almost a blank slate for the audience to empathize with, so we don't get a backstory. Her antagonists are controlling, but not overtly abusive – and I think we're meant to infer that Rose has been conditioned to be obedient (her 'trauma' backstory is unremarkable). I assume this would be your 'ghost' as it's not explicit.
Her 'lie' is that she believes she has no path forward, so she decides to kill herself by jumping off the boat.
The story soon presents an external event (ignition point) that forces them to face their lie or abandon their treasured misbelief, because the event tosses the hero into new circumstances, where the lie/ misbelief is no longer useful.
As she's building up the nerve to jump, she's interrupted (not saved) by Jack. He distracts her long enough so that she decides to postpone killing herself and takes a tour of 3rd Class. She meets 'regular' people who have no reason to treat her any differently. She has a fun day in her anonymity, and no longer feels the need to kill herself. Her 'lie' doesn't mean anything here.
These new circumstances somehow feature antagonistic forces and the
opportunity to go after their want. But how are these things
connected?
Having seen Jack's world she wants to bring him into her own world, however her old antagonists are not having it. They need to keep Rose under control, and get rid of Jack. We see their darker sides because Rose's independence threatens their plans.
Whereas Jack could chaperone Rose in 3rd Class, Rose cannot shield Jack in 1st Class from her own antagonists. She has no power here. They easily frame Jack for something-or-other, raising the stakes for Rose. Not only have her antagonists prevented her 'want' but they've incarcerated Jack.
By now the ship has hit an iceberg and we all know how this ends. Coincidentally, Rose did some life-boat math earlier in the movie so she also (almost uniquely) knows how this is going to end. As Rose is being ushered to a lifeboat, her 'lie' comes back in full force – she's already decided that drowning in the sea is preferable to this.
Rose jumps out of line knowing it isn't likely she will get on another lifeboat, but first she has to rescue Jack to undo the damage she's caused him. From this point her character motivations turn direct: she is in control of her own life, and acting according to her moral compass. There is still story-tension because she has never done this before and is heading into danger. She has a much greater antagonist (the sinking ship) which makes her original antagonists seem irrelevant.
The new circumstances lead to a new story goal that is different from
the old "want"... --> But where is the old want in this?
The irony is that she was planning to jump into the sea to fix her unsolvable problem. She's rejected that fate and has a reason to live, but now must do everything she can to not drown in the sea. Her 'lie' manifests as the final boss, and it's an unimaginably horrible death for everyone around her.
Another irony comes at the end. She takes Jack's last name in a symbolic marriage-of-choice, and realizes that the old Rose has been officially declared dead. That girl (symbolically) drowned in the sea after rejecting the life she could not live.
Voila, it works.
The script raises 'dramatic questions' which it rather nicely answers.
Obviously Rose didn't really want to die (that's why it's a 'lie'), but by contriving her interrupted suicide as the inciting incident (as opposed to the more obvious iceberg impact as the inciting incident) Rose is living on borrowed time. She uniquely in sync with the fate of the ship. She is a changed person from the moment she decided to kill herself (it's a misguided plan but it's the start of her independence), and it takes a while before she realizes her strength.
While the iceberg is not Rose's fault, her 'lie' of drowning herself comes back to strip everything away, inverting her intent. In another story she might have triggered this disaster and been forced to suffer the consequences, here Rose uniquely echoes the disaster or even foreshadows it. Meanwhile the plot manages to move her (and Jack) through every relevant part of the ship from bow to cargohold, something that would be very unlikely to happen (indeed no other Titanic story attempts to give any one protagonist the 'grand tour').
There's obviously a lot more that happens in that script, a lot of corn and melodrama and even some mustache twirling from an antagonist turned cartoon villain. These things are definitely NOT what we'd call 'good writing' but they undoubtedly contributed to Titanic's massive box office.
Notice also the protagonist's character arc I've deconstructed to match your formula –– what we'd consider actually 'good writing' –– is probably unnoticed by 95% of the audience. Rose has a heroic character arc with universal appeal (better to die free than live someone else's life). It also pays off with several poetic ironies that seem better on paper than what we get from the film. But is this what anyone remembers about the movie?
FWIW, the formula 'works' – or rather Titanic's script is 'formulaic' by design – our protagonist is hitting her heroic beats, but... there's a lot more going on in the script that might be just as (if not more) important. I think it's reductive to cherrypick contrived character beats and feel that is the 'universal' story.
I love this example because Rose is a made-up character, ret-conned into a real-life disaster which has no narrative moral lesson. All of her character beats are contrived to help history fit Hollywood story conventions. Rose is THE protagonist because her character arc uniquely fits with the sinking-ship antagonist. Only Rose needs to learn the (patently obvious) moral lesson: living is good; drowning is bad.