Account status "Invisibile" is not respected cross-platform

When I set my account status to invisible in the EA App, my friends still see me as online on other platforms. I play on PC, but I've noticed friends who are on XBox seeing me as being online despite having set my account to invisible status. They see me pop up as playing a game (like skate. or Star Wars Jedi: Fallen Order) while they're playing a game (the same game, but also while they're playing another game like Battlefield 6). I have no idea if they can also see it while they're not in-game.

I have tried disabling cross-play settings in-game where possible, but this has no effect.

When I set my account to appear as offline, I do it for a reason, and expect this choice to be respected regardless of platform or played game.