I have one! See "Isabelle" in my horses section.
I can't hardly tire my girl out either. That is super for summer, but in the winter she can be a handful. People assure me gaited horses aren't "hot." But if hot isn't the right word, I'm not sure what to call it.
She is so sweet. You couldn't ask for a kinder horse. And she has lots of "go" which I like. But she also gets herself so worked up sometimes I can't hardly get her to walk going home. I guess you would call that barn sour. So we work on that A LOT. Yesterday I trail rode her for just shy of 3 hours and had to do lots of hill work to take the edge off so we could actually walk on a loose rein coming home.
So I would describe her as sweet but excitable. I am not the kind of person that hops on and expects her to gait. Her best gait is actually her flat walk, so I am super happy just walking. I don't think I am pushing her or giving her energetic vibes. I'm really a relaxed, almost lazy sort of rider. But maybe she was trained in such a way that she feels like she has to rush. I've only had her a little over a year so I don't know.
But I love, love, love her.