That hasn't been my experience. My lease expires mid August, and I already got the lease renewal. The same level as the current one, not a dollar less. We started looking around. Everywhere the same, same level as the current one. I didn't get to ask about free months yet, maybe management companies will offer one-two months. But the actual rent per month is not going down, despite a significant number of vacancies.
My experience with large property management firms is that they aren't keen on handing out discounts to existing leasees.