do video game's EULA stop when you uninstall the game?

if a game says "we will collect information such as..." and you uninstall the game does it not connect from you anymore? I'm being paranoid about this now and its making me stop downloading a game. I only read a bit of the EULA but I'm confused by the "by personal info we mean: identification etc." I don't know why I'm worrying now since I never really read EULA's before. this one is just for a popular game that youtubers and others play so idk why I can't seem to make my brain download it