CPAP makers test their machines against a complete loss of mains power for one cycle: about 17 ms on US power. ResMed lists that test for its AirSense 10 and 11, Philips for the DreamStation 2, and both recommend a UPS if the machine has to keep running through anything longer. A power station with a true UPS mode sits between the wall and the machine and takes over the moment the wall stops. Some makers call it EPS. One that switches to battery in 10 ms stays inside that tested window.
Past 17 ms, no maker publishes what happens. A machine may ride through a 20–30 ms switch, or it may stop. If it stops, ResMed's AirSense 10 restarts therapy by itself when power returns. You lose a moment of pressure and keep the night. A station with no UPS mode does nothing when the wall fails. The machine stays off until the power comes back, or until you wake up, find the plug in the dark and move it. For a CPAP, the switchover is the feature you are paying for.