I've been at three FAANGs now and my experience has been that nobody really cares about your level for day-to-day work. The only times it has ever come up for me is when a) I was part of assembling a new team and we needed a mix of juniors and seniors or b) when some dangerous action like deploying during a holiday code freeze needed approval from an L9+ by policy, so you had to go find that person and justify it to them.
Now, your compensation is based entirely on your level, which obviously makes it matter a great deal, but my experience hasn't been that there are mind games around it.
Why did you bounce around faangs if you don’t mind me asking? Reading this site it seems… not uncommon, but I don’t understand why. Finding and starting a new job stinks haha.