"Quote"
Cumulative damage occurs on parts as defined in datasheets. MOVs suffer cumulative damage as defined by manufacturer charts. Nothing in an electronic power supply suffers cumulative damage. Either parts remain intact or fail catastrophically. Designs are so refined that some parts intentionally fail shorted while others fail open. But in every case, those parts do not suffer cumulative damage. Either parts remain fine or fail catastrophically.
If you read the recent power supply examination on Toms you saw a unit that to the investigator still functioned in spite of numerous shortcomings. Some electronics do seem to persist as long as they are not overly disturbed. Some serious damage I've read of does occur without ever affecting the fuse or circuit breaker. Capacitors gradually fail, typically giving some symptomatic warnings. I take it this must be characterized as aging, not damage, with many having ratings of 2000 hours or less.
I probably should have had a repair when I turned on a 75 watt lamp on the surge side of a UPS and lost detection of a USB TV tuner. These are quite sensitive and at the time two computers and two monitors on the battery side, as well as other devices, filled the outlets. Power still never exceeded 250 watts. After another year this 5-year old UPS was recently repaired when a manual test annoyingly alerted of failure. This is the unit that does not beep when power is lost. So possibly the lamp provided a better test of a parallel circuit than the self-test does or too many devices strained an underrated unit. The lamp no longer has this affect, at least with less connected.
More relevant to the OP.
Regarding data loss I would expect word documents and other items to be saved as old for inspection on restart (don't ignore and take the time to compare every one). Some users may find a more complex situation. I may have several instances of Visual Studio open and if there are two versions of the same application open then it becomes more complex. As long as only one is being edited there shouldn't be a problem on restart, but I can more reliably exit the situation by manually closing these instances. This situation can be complex enough to require restarting those instances before shutdown. Only a good SSD would preserve this state, provided it isn't damaged by failure of the power supply or other components. I would not typically be concerned but a days work can be easily lost and not always easily replaced. With experience, I avoid the issue for the most part but Visual Studio is simply very complex for the operating system to maintain.
As for the main point you make, the UPS has only an inverter so I don't know why I came to believe it did more. Someone should expect to exchange or recharge the battery at least every three years and repair or replace the unit in less than 5 years from my experience.