Well, right here in NW GA, I still have a powerless 2.3 until warmed up. It's been that way for years. My suggestion of things to look at are 1)ACT - air charge temp, 2)ECT- engine coolant temp, 3)heated air thermal switch.
The first two are normal sensors that can be tested for value - resistance, I think - and be judged known good or out of reason.(not -12F in Dalton, for example).
The third sits in the bottom of the air cleaner in my truck, connecting vacuum to a diaphragm that makes the engine draw air from the 'stove' attached to the exhaust manifold until it is 'warm'. This is a vacuum switch, valve, that has a thermal disk that pops at a specific temperature, to open/close the vacuum port.
Last call would be fuel pressure, as the spritzers need more flow when cold, and low pressure would make that 'pulse' of spray flow less fuel.
tom