A quick update - as expected, both devices that I have are working fine, without any restarts and false zero readings when the communication to HE goes through a Zigbee repeating device (mains powered) :
This fact doesn't make the Moes ZSS-ZK-THL (TS0222) device fully usable with HE hub, as there is no guarantee that the communication will always go through a repeater. I achieve this by placing a Zigbee repeater or Zigbee power plug close to the Moes brightness thermometer and then removing the battery, waiting >30 seconds and re-insterting the battery again. There is a high probability that few minutes later the sensor will start communicating to the HE hub via the repeating device, but this can never be guaranteed.
