Yes, this is perfectly normal for lead-acid batteries because for longevity you generally do not want to discharge them below 50% state of charge.
For your deep-cycle lead acid battery, the difference is 500 cycles life vs. only 200 at 100% discharge. Unfortunately the alarm is because these UPS manufacturers don't tend to use deep-cycle type batteries in their products, usually favoring cheaper sealed/maintenance-free gel cells which last about 100 cycles to 50% discharge vs. only about 10 to 100%. So a 10-fold increase in cycle life by only discharging to 50%.
Adding a 2nd 100Ah lead battery would allow you to draw the same power for twice as long, but would then take twice as long to charge back up, provided the built-in charger was up to the task. Or if you replaced the battery with a 12.8v LiFePO4 type the cycle life would go up into the thousands even if you discharged to 100%, with the caveat that the built-in charger may not be best for it (though perfectly acceptable with the built-in BMS on the lithium battery). If the power mainly goes out during the day, it would be reasonable to add a solar panel and charge controller to keep the battery from depleting as quickly.