Tun Kai Poh
Hero
Agreed about the LARPs - there is plenty of overlap with the RPGs played at the tabletop.
That said, there are plenty of GMless games (such as The Quiet Year, Dream Askew/Apart and the whole genre of Belonging Outside Belonging games) that have specific mechanical interaction, but no dice or competition, but they're classified as roleplaying games because of the elements of play and interaction used to create a shared fiction. For that matter, there are plenty of GMed games where there is no competition, or the competition is illusory. So I don't see competition as a necessary part of TTRPGs.
That said, there are plenty of GMless games (such as The Quiet Year, Dream Askew/Apart and the whole genre of Belonging Outside Belonging games) that have specific mechanical interaction, but no dice or competition, but they're classified as roleplaying games because of the elements of play and interaction used to create a shared fiction. For that matter, there are plenty of GMed games where there is no competition, or the competition is illusory. So I don't see competition as a necessary part of TTRPGs.