When the power generation for an electrical grid cannot meet the demand, it reduces frequency. See it as a car going up a hill. So, when power is restored, it is like a car going up a hill. For a transformer, efficiency decreases rapidly with falling frequency. For household usage, transformers running directly on mains frequency are only used for linear power supplies which are found in things like audiophile level power amplifiers, so your Class-A amplifier may get even hotter and be more vulnerable to the attending voltage surges.
When we experienced that "Bomb Cyclone," I failed to disconnect power to our flat screen TV. Even with the TV off, circuits are still running. When power was restored, I almost had a panic attack when erratic lines ran through the picture. Lucky, the problem was the result of our cable feed and not the TV.
Thanks for the education
Electrical Engineer?