There are in fact two issues, and you need to be aware of both of them. Lead Acid batteries have stable voltage under load. You cannot tell the charge state of a Lead Acid battery from its voltage. You actually have to measure the specific gravity of the acid in the cell to make that determination. That also means a UPS expects that if it has a 12 volt battery, it expects to see about 13.2 volts from startup until the battery is dead, by contrast Li-Ion cell charge state is determined by battery voltage, so as it discharges, the voltage will fall quite markedly from the original 4.2 or 4.35 volts per cell, and that is likely to be a problem for a device that expects to see constant voltage throughout the discharge cycle. In addition with lead acid cells, you can build them two ways. They can optimized for deep discharge cycling (this is how batteries to operate wheel chairs and electric trolling motors for boars are built), or optimized for overcharge tolerance (car batteries are designed this way). The life expectancy of any Li-Ion cell is close tied to how often and how deeply it is discharged. In addition the charging circuits are very different. Realistically because of the Li-Ion discharge properties, you need a UPS that is designed to deal with the changing input voltage as the cells discharge.