To set the choke, the gas pedal needs to be depressed.
The fast idle solenoid is not strong enough to do it on it's own.
Then as the engine warms up, the choke needs to release, also a throttle press.
Even the computer controlled Quadrajet my 84 had with an mc solenoid, would not work with a remote start.
The Quadrajet is a fine carburetor.
Setup and adjusted correctly, I got 13 mpg with 3.73's and 33's.
Plenty of power too.
I am sure you could find a way to make a remote start work.
But it isn't plug and play for the carbureted vehicles.