I’ve read a lot about locally run automation on ZigBee hubs like the Hue and Aqara hubs for example. Basically my understanding is that automations on these hubs would continue to work without internet connectivity.

I have a question about a hypothetical situation. Say you have the following hardware. A hue bridge, an Aqara hub, a hue bulb and an Aqara ZigBee motion sensor.

A routine in configured in Google Home which turns on the bulb when the sensor detects movement,

Would this routine still run if internet connectivity was lost? The communication is all ZigBee and in theory local to the hubs however does the fact that the routine is setup in Google Home mean its still reliant on internet connectivity?