You know, after seeing everyone's opinions, I believe I have come to a consensus that I would like everyone's opinions on:
The main issue with having the same remnant across both continuities is that it gives unrealistic abilities to the games, even with the three character rule. I've found the root of the problem and a way to circumvent it without it being completely vibes based.
First rule: For the ability to be in the page, it has to have been shown by at least three characters, with some very few exceptions for things either explicitely said to be remnant-originated (like freezing water) or things that don't take a great leap in logic to assume they are universal (like Michael's immortality for remnant infused humans).
Second rule: The characters have to show that use of the ability in specific. For example, all the toys can make lights flicker, so it makes sense other mid tier and up remnant users can. Similarly, all the classics can distort the cams and outright disable the doors and lights, so high tier and up remnant users should scale. However only Foxy can outright drain energy from the building, so only he scales to that.
This would eliminate most of the outlandish haxes in the peak tiers, as most use those haxes in vastly different ways, that should not cross-scale. I'll have to see later how this would make the page look, but I believe it's the best of both worlds.