@JDRoberts Woodworker72 reports that the GDC1 does in fact keep working after a power outage once power is restored the wired sensor reports the correct status and the device keeps working. So in that way it is better than the GD00Z from linear.
I asked him on this thread if you are interested in his reply Impressions of Garage Door Control with the Telguard GDC1
I also emailed telguard sales and they provided the same answer.