I have always connected both vehicles with engine off, let it sit for a minute, then started the good vehicle, let it sit for a minute, then start the dead vehicle.
Never thought about all the electronics and the potential problems from having 2 alternators running at the same time.
I just checked 4 owners manuals (2018 Santa Fe, 2018 Kia Soul, 2012 Scion xB, 2002 F150), and they all say the same thing. Connect batteries with vehicles off, start good vehicle, let sit for a minute while revving engine, then start dead vehicle.
Only the F150 owners manual mentions turning on the heater fans to high to help balance electrical load.
Maybe I will follow what Scotty says, connect, let sit, try to start, if not, start good vehicle, let sit for a few minutes, shut off, try again.
Or just use the battery jump packs that I bought for all my vehicles (just make sure you charge them up periodically). Also as said, if very cold, they may take a minute to "warm up" to full discharge capacity, so connect to battery and turn on the headlights for a bit, then try to start.