Ok, I'm with you mostly on the analogy, but I think we are looking at 2 different visions.
You seem to be looking at the system as it is moving, i.e. the battery charge is changing, and I am looking at a point in time, i.e. the instant points close and the current begins to flow.The current is either flowing or not....ON (flowing) or OFF (not flowing) are the only two possibilities....You can alter the speed at which it flows, which is what this discussion is about......
Theoretically, as your example, checking voltage between the minus side of the coil and B- should be "0" (assuming there is nothing in between [IF the points are closed, there IS a short to B- already "in between", negating any voltage reading].....
And if you check amperage anywhere in the loop, it will be the same (2.6 amps)... YES, With points closed......Assuming Battery + to resistor to coil to points to battery-, .An inline ammeter (wired in anywhere in series with the other components )would read the total circuit Amperage of 2.61.....
If the points are open, then you would have 12 volts to ground anywhere in the circuit, and no amps anywhere......Right?