Ordered the same 2 batteries as the OP, to replace APC RBC33 that is dead. In the past, I didn't bother to use the UPS so the OEM battery pack (and its replacement) both died due to neglect. Currently, the OEM RBC33 is 3 times as expensive as from BatterySharks, which was the cheapest option I saw anywhere.
BatterySharks is a bit weird on shipping cost; so I also ordered a single battery (same kind as from the dual pack) from Home Depot. This is to replace an ancient RBC2. I should've bought a new Vertiv UPS from B&H Photo today but I hesitated and it went out of stock. For my particular use case (WiFi router and small NAS), I'm okay with an ancient, small APC UPS that won't do signaling to the server.
The battery from Home Depot is by Mighty Max, and it might be improved (AGM)? It clams low self discharge, so maybe I'll be less likely to kill it prematurely again.
Delivering power when you need it, the MIGHTY MAX ML7-12F2 12-Volt 7.2 Ah uses a state of the art, heavy-duty, calcium-alloy grid that provides exceptional performance and service life in both float and
www.homedepot.com
EDIT Monday, March 13:
Just received my new batteries from BatterySharks. Turned on the old Back-UPS XS 1500, and the replace battery LED is no longer lit (it was not audibly chirping). Guess I'll install PowerChute and see what it says. It's not really worth shipping back, but I could return the single unit to Home Depot and keep this dual-pack.
EDIT 2:
It passed the Self-Test. Battery is a bit over 5 years old, and basically was mothballed almost the entire time.
At least now I know better!
I was a little surprised that this old UPS actually supports USB signaling, and also pleasantly surprised I found the OEM cable without any trouble. So it's probably supported by Synology DSM if I ever wanted it to do that.
EDIT Thursday, March 16:
New SigmasTek battery works fine. It ran a laptop for 20 minutes, at a low power draw since it was only sitting at the login screen. I didn't run it down to zero; just wanted a baseline test before I put it back into use. Strangely, the UPS wasn't complaining about the old battery before I pulled it. That's the original battery from some 20+ years back! When I pulled power to test the new battery, the UPS never chirped either. I'll check the DIP switches on the back (yes, that's how these are configured LOL). It may be set to alert only once the battery is running low. The APC manual for this ancient unit says the battery's life span is 3-6 years. It uses DB9 serial for signaling, and I should have the cable ... somewhere.