We don't know for sure that the bodies use identical power (but I agree it's likely). Have you actually measured the GH1 PSU output? That would be interesting.
The GH1 adapter puts out 9.55V. I have two adapters for the Sony FX820 DVD player (the model number is AC-FX-150) and a generic replacement from a Chinese seller on eBay.
The genuine adapter outputs 9.77V, the other one 9.22V.
I also have a Sony adapter/charger for their TRV series of camcorders. They are rated at 8.4V. The actual output was measured at 8.42V.
This would seem to be the safest one to use. I tried to extend the DC wire by 6 ft, and the voltage dropped below 8.4 resulting in a message that the battery is not recognised.
So I am not using it.





