TLDR: Can't hold right outside edge due to weaking right foot/leg with a tendency for right inner thigh and knee to cave inwards. Looking for drills and exercises to strengthen skating on right foot.
I've been going for adult skating classes (in my 30s) for about 5 months, and I've been consistently having issues when skating on my right leg.
Skating on my left is great - stable, strong, and I can generally stay on my edges. However, when it comes to skating on my right foot, I often can't hold a one-foot glide reliably as it often feels like I'm not gripping onto the ice enough. Whenever there's a need to go onto my right outside edge for fw crossovers or fw three-turns, I tend to drop back into my right inside edge, my right inner thigh and knee also seem to have a tendency to cave inwards.
When I'm doing half swizzle pumps down the rink, I think I do a pretty good job when I'm skating on my left leg, and pumping with my right. But it feels almost impossible to do the same thing when I flip it around.
One reason could be undertraining on my right since it is the weaker side, and I would subconsciously prefer to skate on the more reliable left-side. I also did suffer a small injury a few months ago (suspected slight tear in the right meniscus) which is even more of a reason why I haven't been training on my right as much as I should.
I have brought my skates to a smaller skate shop; they've checked the alignment of my skates and said it was fine. I'm not sure if it's a pronation issue, and I don't discount the possibility.
Question: Are there any drills or exercises (either on-ice or off-ice) that I can do to strengthen skating on my right foot?