Yeah. Acoustic sound is the description I was looking for!
I feel you a lot though; I'm also really weird when it comes keeping/selling headphones. I was super euphoric about getting some really decent In-Ears, got them, handmade to order, thought I'd never wear over ears again. I was happy for while, realized that over-ears kind of have thicker bass and a wider sound image (usually), so I just sold them again and got over ears. Somehow I just also couldn't justify keeping in-ears and over-ears at the same time, even though they both have their use cases.
Oh well... as long as we enjoy ourselves.