My 73 Vega did.
As does my '79 Toyota Celica .
The only time power gets to the fuel pump with low oil pressure is with the ignition switch in the START position.
Let’s see, a '73 Vega and a '79 Celica shut off the fuel pump when the oil pressure is too low. I’m guessing these both had carburetors. No problem with starting with a slight delay in full fuel pressure, I would imagine.
Speaking for my Celica, NYBo, you are correct. It’s carbureted.
There is a resistor in series with the pump
when the car is running (ignition switch in “IGN” position.) When the ignition switch is in the “Start” position, the resistor is bypassed, and 12volts goes to the pump.