This DM is going to have to go ahead and disagree. 2 overnight delays last year, one in ATL (WX) one in DTW (MX). Sky club attendent in ATL printed off the boarding pass for the next day and gave a fake apology, but that was it. Booked myself at the airport Westin.
Sky club attendent in DTW gave me a voucher for a hotel that had a one and a half star user rating on TripAdvisor. When I told her my colleagues had previously been put up by Delta in the airport Westin, she flat out lied and said that that never happens. Went to the irops desk where they at least had the decency to tell me that Delta's room block at the Westin was full for the night. Plenty of non-Delta rooms though, so I once again booked one myself.