Thor gets KO'd and on my next turn I bring a character in from my sideline, can they make attacks/move? I'm not sure if this is a Burst or an Aura or just some other static effect. Is "during your next turn" a type of duration?

Are sidelined figures considered friendly?

It is a trigger that resolves, so it is a "burst" effect. It will only apply to characters on the map at the time it resolves. Game elements on your sideline are friendly, but are not affected by effects that reference your force, for the reasons given in the last entry you quoted.

Thor's game effect doesn't mention "your force", does that matter?

EDIT: nevermind answered my own question already