If you push enough, they will. Once I had an 18 hour layover in Honolulu and I decided to go to the Pearl Harbor memorial (sentimental, I know) and Uber was a mess. I got cancelled on, and I cancelled one...both times I was charged the fee. After a few emails of back and forth they actually refunded my credit card instead of just giving me "Uber credits."
In general, I find Lyft is wholly more pleasant, both as an app and as a customer.