The UPS should have a cut-off at some voltage, preventing the battery from being drained flat. Yes, it will be hard on a SLA battery to drain it low, but unless you’re doing that regularly, the deep-cycle batteries are built to handle that better than regular car batteries (or perhaps the crappy stock battery?).
Even if you ruin a deep-cycle SLA battery year or two, it’s still probably cheaper than a lithium-ion battery of the same capacity.