I had this at the New Orleans Marriott on Canal a couple of weeks ago. I was trying to check on my room service order (it had been almost an hour and I got a cold while I was on this trip, so I wasn't keen on going down to the lobby to track it down myself.) When I said 'check on room service order' or something like that, the automated system asked me if I wanted to start an order and I just said "representative" and it finally connected me to a human.

I think I got transferred to the front desk and they tried to look up my order, but asked to call me back with an answer, so it wasn't like human-powered was efficient either.