There is only one feed into the volume control and there are two sets of speakers, so the entire system is being run in mono, not stereo. This is (IMO) just a stupid install. Someone didn't know what they were doing and didn't know to run four conductor wire to the volume control, and this is what you end up with.
The Monoprice MS-6 has internal speaker protection, which is likely a good thing to leave on as this load would likely be 4 ohms per location at the very least.
This isn't the more horrendous setup I've seen, and I don't see a clear cut reason why the SS-6 would have an issue with a 4-ohm load being presented to it from every volume control. I just wouldn't expect a bunch of volume out of things overall. Still, at under 20 bucks, that's an incredibly inexpensive speaker selector.