From my understanding, and I may be wrong, the engine coolant temperature switch tells the ecu when to use the cold start time switch, which in turn, controls the cold start injector. At any rate, the entire system should be checked to ensure correct function.
My thinking is that the ect could be bad, causing the csi to fire when warm, causing almost a flood condition. This would then require the OP to open the throttle body to allow enough air in to start.
May be a wild guess, but, hey, you gotta start somewhere! Eliminating those components from the diagnosis certainly won't hurt.
1993 Toyota Pickup DLX 4x4- 22re W56