Yea I believe the E5 skin should be the one conflicting when someone has the battle pass 3d style, tested the caern and t34-3 that I had enabled and those are fine.
Funny enough I also have that 3d style on the E5 and I played with the skin as well. Perhaps it worked for me since the skin and the style were loaded from the garage before, idk?
Anyway I disabled the E5 skin and will come back to confirm when I get in a battle against one with the 3d style