AnotherGuy
Hero
Why not?
@Ovinomancer is likely right in that we probably should remove the romance out of the definition, however the various definitions come across as:
Setting Tourism -
Play to Discover GM's Notes -
Railroad -
Sandbox neutral to +
Protagonist Play +
Skilled Play +
I very much doubt I'm alone in this - in fact even @innerdude commented similarly on Play to Discover the GMs Notes in this very thread.
Analysing playstyles is far from my forte, however if I had to come up with something neutral for the two specific styles that exist between the various participants here... and this is not original as I've heard it before, but I'm unsure of the context.
I would charactertise your style as Player Stance and BRG's as Character Stance
Your Player Stance fits well with the active authorial power granted by the game/GM and Character Stance fits well with players passively digesting the setting/GM notes.
Maybe someone has a better suggestion.