Mokanman, my story is almost identical to yours. I've had my RVT 50 for just a little over 3 years. The left side has always been weaker on hills than the right. But this year it's become a noticably worse. The mower only has 110 hours. Following some great previous post, I removed the transaxle, drained the oil, replaced oil with synthetic, and installed a new Husky 57" kevlor drive belt. Unfortunately none of the above fixed the problem.
I think there needs to be a safety recall on these before someone gets seriously hurt. Can you imagine driving a car if the brakes and steering continously went out on one side?
Did you find out the problem with the rzt50 LH transmission