Adobe lists it on their support website that serial numbers get put into files and there’s even a little tool to check if your serial number registered properly so you can make sure to claim the rights to your own work.
I definitely wouldn’t want to risk it unless you passed the files through some intermediary programs that stripped that kind of metadata out.
I noticed that for the most part, the things they claim it advanced, are advanced regardless and it’s only BECAUSE they reached the level that they are now that this can even be done. It wasn’t the other way around. We aren’t working to make robotic bees and THAT tech is what furthers everything else.