I understand that. But note that fact does not change anything in terms of the capacity needed for the UPS. It still needs to support the connected equipment.
Note that UPS are typically rated in volt/amps (VA).
In theory, you should get an UPS that will support the power supply (supplies) connected to it. But it is highly unlikely your components will ever max out the demand on your supply as you most likely could easily get away with a 500W PSU (according to
this calculation). Therefore, I recommend a 750 to 800VA UPS.
For the record, in the nearly 40 years I've been updating BIOS firmware, I have only had it fail catastrophically twice and each was over 35 years ago. The first was when I foolishly did this during a thunderstorm and we lost power. The second was when a coworker tripped over the power cord and yanked it out of the wall.
Since then, I ALWAYS make sure I have the computer supported by a good UPS with AVR when updating the BIOS. So kudos to you for doing the same!
That said, not sure why you insist this will only be for BIOS updating. I always recommend all computers be supported by a quality UPS with AVR 24/7/365. Understand it is the AVR (automatic voltage regulation) feature that makes a good UPS with AVR so important. Backup power during an outage is just a minor bonus feature. Note a surge and spike protector is little more than a fancy and expensive extension cord as they do nothing for low voltage events like dips (opposite of spikes), sags (opposite of surges) or brownouts (long duration sags). And for
excessive surges and spikes, they simply cut power (
“IF” working properly), crashing your computer - never good.