Well, I had to see if it would work...
So here we have the Hennings LED lighting board connected to an isolated-rail simulator (blue masking tape). Track voltage from Z4000. LED board set to maximum output current (about 45 mA) driving an eBay 12V relay module - the one's that are just over $1 (free-shipping from Asia).
Worked fine over a 10-20V AC range. Here it is in action. The relay module has a red LED which turns on bright when the relay trips. Note the LED brightness decays rather than suddenly turning on-off which is from the capacitor performing its anti-chatter.