I may have read that study, Robb, now that you mention it.
The one legged squats are hard -- feels like being punched in the stomach. But these have helped a lot with hiking when there are some steep rocks involved.
My trainer also had me do one legged stand ups from being seated on the bench. Also some kind of side lunge that uses one leg. I'm lucky to have a good trainer who makes me work hard and who takes her work seriously. Plus she plays disco for me -- especially Brick House by the Commodores.