For that to happen a relay moves things to differing windings and that involves a delay at which point the mains has changed voltage and so there is a glitch.

You are still jumping to unwarranted conclusions. You need to let it go, Shrek - unless you are going out and buying the cheapest, no-name, generic, fire-hazard UPS you can find and plan on using it to protect the cheapest, no-name, generic, fire-hazard power supply you can find. Then you need to worry about your computers. Is that the case? I doubt it.
Nobody is suggesting anyone buy cheap (as in low cost, poor quality) UPS. Just like computer power supplies, we should "invest" in a "good" UPS with AVR if you are serious about protecting your expensive hardware and perhaps more importantly, your data. That does not mean we need to spend $400+ for a 1500VA UPS. But it does not mean $50 either.
But to your point, so what if it takes time to switch windings (either mechanically or through intelligent circuitry? I sure don't care. Why? Because a delay does NOT mean there's a "glitch". We're not talking 10 seconds, or even 1 second, or even 1/10 of 1 second.
AVR is good, I'm just trying to understand it better.
That's fine but you are fixating over a very small, remote, extremely rare possibility.
I personally have been working with these SOHO sized UPS with AVR for over 35 years now. And I have never encountered an issue where the AVR feature did anything but provide good, clean, regulated and
stable power to the connected devices. And supporting critical IS/IT systems hardware has been my full time career this whole time. That is, it is how I've made my living and supported my family.
And that's been in dozens of DoD and State Department facilities in US states from Arizona to NJ, Florida to Idaho. As well as a couple dozen more in Portugal (the Azores), Germany and the UK (and few more that shall remain unnamed. That means literally 100s of different UPS from APC, CyberPower, Tripp Lite, Eaton and others.
That does not mean it can't happen. But it sure means it must be rare.
Have there been UPS failures. Sure. Nothing last forever. But typically if an UPS fails, it is because the batteries died. And twice in 35 years, Mother Nature decided to toss a lightning bolt right at us. No UPS can survive her determined wrath.
So seriously, Shrek. IMO, there is a greater risk of a manufacturing defect than any sort of relay issue you are obsessing over - assuming a properly sized, "good" UPS with AVR from a reputable company and not some budget, no-name generic.
What's the alternative? Plugging directly your computer and other sensitive electronics into the wall outlet? Using a surge and spike protector that does absolutely nothing for low-voltage anomalies and (if lucky) simply kills power with extreme high-voltage anomalies? No thanks.