The engines both re-lit (even if the right did not accelerate), so the EECs were absolutely powered.
The left CCR is powered on battery/RAT (necessary for APU start, apparently). At least one of the channel A and B cabinet switches in the CCR L must also be powered; I expect both.
It looks like all the RDCs have A/B channels connected to the A/B networks, so you can lose all the switches on one channel and still talk to all the RDCs.
I'm not sure how many of the remote network switches (ARSs) and RDCs would be powered, though.
My guess is any RDC powered on battery had routes available to the CCR and through to the EAFR, and would have been recorded if it was a recorded parameter. It sounds like the integrated DFDAU in the EAFR sniffs data straight out of the CDN.
I wouldn't be surprised to find >50%, maybe even >80% of recorded parameters present.