Yeah, trainers usually spin inverted better than upright. When you think about it, it's obvious why. The flat bottom of the airfoil becomes a flat top of the airfoil, and, as you might guess, a flat topped airfoil can stall pretty easily. My knock-around trainer won't spin upright, but does inverted just fine. (I keep the controls on the mellow side because I sometimes use it as part of the intro pilot program).

Btw, there is a lot you can do with a trainer. Most of the better pilots in my club keep a trainer around for fun. Lets see you slip it down, touch just one wheel, roll down the runway on the one wheel, lift off, then touch the other wheel, then take back off. It's a lot harder than it looks. You'll learn a lot about flying doing silly stuff like that.