It's already happening. I was in Walmart today and they had a huge stand with some chocolate advertised by some youtube influencer with a creepy smile. I checked a drawing set and it had a picture with some instagram influencer art as an example. I'm not that old, but I felt really old today.
I don't think 10000 year is a problem. There is a real "year 2038 problem" that affects system storing unix time in signed int32, but it's mostly solved already. The next problem will be in year 33000 or something like that.