The cam sensor only affects the timing of when first pair of injectors pulse so they correspond properly with the intake cycle of their matching cylinders (1 and 3). Then the ecm sees two pulses of the tach signal and pulses the second of injectors so they match the intake cycle of their cylinders (4 and 2).
If you think parts stores calling the cam sensor an ignition module is bad, just look on how a lot of them list the engine temp sensor, coolant temp sender, and coolant fan switch as “temperature sensor” with different part numbers….LOL
The worst part is even the FSM is wrong. If you look at the N/A’s dizzy parts breakdown, they completely forgot the cam sensor.