Doc, I'm using APC and my unit does not "fill in" the lacking AC voltage by supplementing it with battery power. The battery power only kicks in when there is total power failure. What model ng UPS has the feature that you were mentioning?
From what I've read maybe you need a UPS with an AVR function. The AVR corrects relatively minor fluctuations, specifically for dips that aren't major it doesn't use battery power. But if the dip is large enough it should trigger the UPS function to provide power. For example, look at the product page of this UPS+ AVR from Cyberpower:
https://www.cyberpowersystems.com/product/ups/avr/cps900avr/The CyberPower Systems CPS900AVR UPS provides battery backup (using simulated sine wave output) and surge protection for desktop computers, workstations, and personal electronics. The CPS900AVR uses Automatic Voltage Regulation (AVR) to correct minor power fluctuations without switching to battery power, which extends battery life.
Battery BackupSupplies power long enough for equipment to properly shut down when utility power fails. Helps prevent loss of data and minimizes the component stress caused by a hard shutdown.
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Automatic Voltage Regulation (AVR)Provides clean, consistent AC power by automatically
increasing (boosting) low voltage without using battery power when incoming utility power experiences minor fluctuations.
My interpretation for this is that the AVR+UPS works as a continuum. Just focusing on voltage drops and ignoring spikes, if the drop is relatively minor then the AVR will compensate (without using battery power, as stated above). However, if the drop goes beyond the compensation range of the AVR, then the UPS should kick in. This transition should be seamless, otherwise if there is a gray area where the AVR is unable to compensate AND the UPS will not provide power then the computer will restart, which is obviously unacceptable.