Better question, what is the likelihood that a hospital near most residents are busy enough at 2am where wait times are extremely excessive that you need to use a service like this to "schedule" your visit? I would imagine that the likelihood decreases considerably during the "middle of the night" especially when taking into consideration that there are probably more hospitals that are not level 1 trauma centers and/or county run facilities and are often the busiest between 11am and 11pm.
My last experience with the ER was in the 90s, but there were several times I (or my then wife) had to wait for hours in the evening or middle of the night to see a doctor at the ER, in both Columbus, GA, and Melbourne, FL.