Not the word itself, no, but many of its modern uses, surely.
I got no idea
You have got to be kidding me
are fine examples of how never to use ‘got’.
‘I got no idea’ is hardly slang. it’s just a common mistake but still and only, a mistake. You might try to defend it with the plea that since the user can’t understand the difference, it can’t be a deliberate mistake and must therefor be no mistake at all, but would you?
'You have got to be kidding me' isn't correct; a fine example of how 'have' and 'got' and have got' confuse people.
'You have to be kidding me' is correct but yes, most people don't care.
I got it
I got sick
I got a book
I got there in time
have always been correct.
I got by until long after 10 on hearing alone and yes, ‘got’ frequently got my goat. It seemed ugly but why wasn’t obvious, until I found Fowler’s The King’s English. Even in 1908 that tome lamented how often ‘got’ was getting misused. Fowler quotes RG White: ‘… got, having been by custom poorly substituted for gat, so that we say He got away, instead of He gat away, many persons abbreviate gotten into got, saying He had got, for He had gotten.’ Is it surprising that after 100 years we get ‘He got’ from a further mutation of ‘He had got?'
‘I got the ball’ isn’t wrong; it just doesn’t mean ‘I have it’ but rather ‘I caught it.’ It often sounds clumsy but it isn’t wrong.
‘I’ve got the ball’ might be a mistake for ‘I have the ball’ or - although that’s now pretty-much universally heard as archaic - for ’I’ve gotten the ball’. Either way I think the best defence for ‘I’ve got the ball’ is as an idiomatic mistake, not a neutral development of the language, however natural…though let’s come back to that in another 100 years!
‘Have you got a clue?’ is not the same as ‘Do you have a clue?’ It’s at best unclear and if it really worked, it should mean ‘Have you found…’ not ‘Do you possess…’