I do agree with you in that the movie is NOT about AI usage and IS about memory.
However, with the presence of AI today literally everywhere and especially how much of a point of contention it is in the arts, I don't think it is crazy to say that it has had an influence in the movie. Horror often reflects the anxieties of ones generation and reflects the ongoing discourses of its time.
I'd say that the movie takes the concept of liminality and ties it with concepts such as the existence of a collective memory and what happens to that in a setting that is hyperreal, consumerist (I dont mean that in a lib ohh capitalism way, but its a world in which the protagonist lives alone in a furniture warehouse; the backrooms are filled with objects of all kinds, rendered completely useless. it is not a narrative that presents objects/tools as useful or valuable, much less unique. compare that with interpretations of the backrooms in which there are prizes (eg almond water) or where tools facilitate survival– here, they only facilitate death)
objects are copies of copies of copies and the characters we are presented are not only isolated, but stuck in the past.
The topic of copies or iterations has probably been a thing since Theseus' ship, but AI has made the main public, especially younger generations, a lot more fixated in these things.
I think the visuals, instead of the plot or whatever, is where the claims of "AI influence" make more sense. The laundry pile scene in particular reminded me a lot of those early AI generated images or those "Stroke simulator" images where picking apart objects is impossible.
Although the still lifes should definitely be traced to much older tropes such as as skin walkers, mimics, jungian shadows or personas, or the more general concept of the alterego, I'll say that their design (overlapping faces, too many fingers or eyes, etc) definitely takes after AI generated images more than it does faulty human memory.
I don't think it's a stretch to say that AI is, if unconsciously, present in the movie one way or another despite the story taking place in the 90's. I do however think it's a stretch to claim that Kane made a movie about AI, same way I dont think its accurate to claim that the story is about dementia just because it features music or visuals from Everywhere at the end of time.