Bunny hopping may not give you an advantage but it's annoying to say the least. They have already done the work to separate the energy usage of stealth and armor why not add a strength bar as well to limit the bouncing around. I have no problems with one or two jumps but after that it's a bit ridiculous.

I think 2.5 jumps would be optimal, then regular jumps after, until recharged enough.

I agree. It looks silly and ruins the immersion.