@1998Exp
All important points you make. Perhaps we have hopefully thrashed this to completion worthy of cancelling a pissing match!
Here's how I see things in forums concerning things quite technical. First, it's not a Physics class; few will understand or appreciate an analysis of transients in our circuitry. Transients to most folks are bums.
I like to try to approach problem solving in the simplest way I can see to present it. I think most guys see all those wires and cables as representing a nightmare. I try to get an understanding of the basic circuits out there, SERIES and PARALLEL, establish the picture in minds that everything electrical in our beloved vehicle is connected in parallel, including the battery and alternator. If thought of as voltage sources connected in parallel, with two conductors leading away from them, it seems clearer that from those two wires are all the places needing juice getting it, with switches, sensors, any variety of mysterious devices doing something with the electricity coming from those two voltage sources.
Now, the alternator presented as the main source of energy for everything except the starter, it can push current back through the battery, they're in PARALLEL with each other, at the same time "feeding" the rest of the systems demanding juice.
I liked especially your description of the battery's "internal resistance". Ever thought of doing this? Let's say during cranking, the battery is supplying 300 amperes, and it's output voltage drops to 8 volts. The imaginary internal resistance is 4 volts divided by 300 amps, or 1.3 Milliohms. Power delivered to starter is 8 X 300 = 2400 Watts. Is that a lot of power? Yes. But only for a short time, a number of seconds usually. Still, a gob of energy withdrawn from that battery; do it over and over with a dead alternator, soon the battery will also be dead. I feel these concepts help with analyzing easier than getting in real deeply.
Remember, the baseword in "analyze" is ****.........imp