Jc:

That the map sensor does not hold vacuum would cause mixture problems once off idle.
If the throttle valve switch/sensor is signaling the ECU as such when the throttle is closed, then the idle mixture is controlled separately from the map sensor, via an idle mixture pot on the side of the ECU. The suggestion to check the relays was prompted by the statement that the injectors were not being pulsed when attempting a hot start. You have probably discovered that the polarity of the injectors in a D-jet system is reversed from all other pulsed injection systems.