The engine coolant temperature sensor output is used to set or influence the engine starting mixture, so if that reads a low and wrong temperature, then the engine will be getting supplied with too much fuel while being started, that can cause starting problems - the same can happen if this sensor is reading a really high temperature when the outside ambient temperature is a lot
lower.
I think that it is still true that even now, the "fly by wire" accelerator pedal position sensor, when Full Open Throttle position is detected, will, when the engine is not yet running, shut down fuelling and so that allows fresh air to be drawn through the engine and so eventually allow a "flooded" engine, to start.