Counterpoint, SEALs get a warfare pin prior to showing up at an operational unit.
I get what you're saying though Steve. For argument's sake, it would make more sense for pilots to get winged at the end of FRS when they are "tactically" trained. But it's really a moot point whether they get winged at the end of API, primary, or advanced because they have an actual training pipeline that doesn't allow them to show up in the fleet until they have attained a basic level of tactical competency.
SWO is truly jacked up in this regard. For all intents and purposes, the 12-18 months we spend getting a SWO pin is our equivalent to flight school/FRS. Where the SWO pin, like a set of wings on a FRS grad, signifies a "basic" level of warfare training.