If enough of us make this mistake then maybe the prescriptive half can drop the whole "possessive pronouns don't get an apostrophe" rule altogether :D.
The same goes for "alot", avoiding the use of "whom", and so on - I ain't gonna give up on them!
I think they've given up on this, it's ubiquitous. I've recently noticed that a CLIP model (a neural network for image understanding) gave me image descriptions using "it's" where "its" would have been correct. Hundreds of thousands of dollars to train the thing; no one noticed, no one cared ¯\_(ツ)_/¯
The same goes for "alot", avoiding the use of "whom", and so on - I ain't gonna give up on them!