Its an AC current transformer, no good on DC or anything >60Hz. Plus it would need to be on only one wire of the twisted pair and that would be like putting a ferrite bead on a power cable - to block RF signals... that'll work well, not!I think you can take a look at this Adjustable DC Current Sensor Switch. https://www.amazon.com/Adjustable-Current-Flameproof-Sensing-Normally/dp/B09NZ98X63
Well the HZ lines are the bell push connection from the front door. Clearly there must be a voltage across them in order that the push works. Presumably that voltage comes from the BUS so maybe one of them has a voltage relative to ground that vanishes if the power goes off. Unfortunately, it will also do so when the bell push is pressed and you probably don't want your UPS switching over every time someone rings the bell - so that means introducing a few seconds delay before activating, exactly what you don't want for a UPS if you want to preserve your work in progress....OK.
What about GND and any of the other lines? Can they be used without causing interferences?