Essentially you don't need anything complex. Most wallwarts are outputting something significantly higher than is needed for the device it's powering. The only router I've openedhad a 12V input and the supply was more like 15V, internally it went directly to a regulator which I think was 8V. all that's required is to run the device on a battery and have that on a permanent maintenance charge. if you're really concerned about mains failure, add a solar panel too. However bear in mind the roadside pillars containing the fibre distribution kit have no battery back-up.I wonder if people are getting carried away with the UPS thing, and if for almost everybody there's an answer in the 80/20, or even 90/10 space, at least in theory.
It seems daft to have a battery, which powers a fancy inverter which produces a nice 230V sine-wave which then powers a power supply which then produces low-voltage DC to work the broadband equipment.
Why not just have the battery and charger, and some kind of automatic changeover switch which kicks in and powers the broadband equipment directly from the battery? Would it be a seamless changeover in the event of a power cut? No. Can most people put up with their connection being down for a minute after a power cut, while the equipment re-establishes the connection? Yes.

