My Foxtrotter mare Isabelle seems like she does everything, and I don't have a good handle on any of it, lol! Well, of course I have a handle on the regular walk and the flat walk pretty well. And sometimes a Foxtrot.
This is what I think I have felt (and confirmed with the Foxtrotter lady I ride with):
All these cool gears and she drifts in and out of them and I need to learn what the heck I am doing!
I do not let her stay in a hard trot or pace though. She will sometimes go right into a hard trot if you ask her for a little more speed from the flat walk. It's a fine line between Foxtrot and hard trot! And she will go into a pace if I am aiming for a canter. I don't think she was asked to canter much before, she seems reluctant to do it and it feels funky to me.
I am working on encouraging the Foxtrot. I love the running walk the best, but she only does it when excited and I don't know how to ask her for it.
Sometimes I just get giddy when she is in a cool gait, whether I was aiming for that gait or not. Like she wants to be barn sour and not walk going home. Of course I want her to walk going home, but sometimes she will get into a nice little Foxtrot or running walk and I just have to giggle even as I am trying to get her to walk towards home. Hard to get mad when she is so smooth!!!