Merric-
I'm not sure how to reply to the survey. We 100% never use miniatures, but we use paper maps or drawn maps on graph paper with written pencil notations, erasing & rewriting as people move around. I wouldn't really consider that theater of the mind. It's map-based, tactical movement & environment interaction, but no miniatures & on a much smaller map than the 1 inch square scale maps.
Miniatures = precisely know where combatants are at all time.
No miniatures = don't precisely know, but may use aids to give a rough idea.
Cheers!