Not exactly, but during the covid pandemic prices dropped and our lease was coming up for renewal and they wanted the standard 2-3% increase anyways. We ask them to lower it and they said corporate doesn't let them do it. So we gave 2 months notice and waited for our unit to appear on the website and started a new lease. Technically, there was a 2 week period between the leases, but we just bickered with them until they said we could stay, and they even charged us at the new lower lease rate for those 2 weeks. I think we saved like 20% a month compared to our original lease?
I'd assume you usually need to move to benefit from rent drops or at least put in notice that you're moving out.