I totally agree.Personally, I think this is getting way over engineered for what should be a simple concept.
While all the information on transient data is not necessarily wrong, I think it can basically be ignored for this application.
Because we have no way of knowing the design limits of Vcc in the remote transmitter, we must assume that it requires a relatively stable 11.5-12.5 Voltage (the original battery).
The 12V circuit on an automobile varies normally between about 10.6V (starter motor cranking) to about 14.6V (approximate maximum regulated charge voltage. Steady state voltage will usually be 13.8V to 14.2V with engine running and 12.6-12.9V with engine off.
All that is needed here is a DC-DC circuit capable of outputting a constant 12V with a varying input voltage. This can be as simple as a 12V zener with appropriate current limiting resistor to a buck-boost converter that maintains a constant 12V under all conditions..
Personally I would use a 1W 12V zener with a 47 to 56 Ohm resistor (1/2W) in series.
Connect the resistor to the accessory circuit of the car and the cathode of the zener. Connect the anode of the zener to ground.
Connect the + battery terminal of the remote to the cathode of the zener and the - terminal to ground,.
The guiding principle should be the same as the handle of one of the primary contributors to this thread.
Graham