Skeet, the way I understand it, Flintlock season was set-up just so traditionalists (the guys who lobbied the PGC for that opportunity) can use their flintlocks. Not for just another opportunity to hunt.
If that were the case, I suspect the PGC would have long ago diluted the flintlock-only regulation with other types of arms to hunt with.
I get that info from Chuck Dixon at Dixon's Muzzleloading Shop. He's pretty much in the know when it comes to that stuff.
Archery season encompasses all types of archery equipment. It is not just a recurve or compound season.
Our Flintlock season is just that, flintlocks only. Or it used to be.
The early season is called muzzleloader season and almost anything goes...
There was a time when I wished for a flintlock season that was during warmer weather and had more deer opportunities. But then began to realize it was all about the experience, not just the killing. But that's just my opinion.

The after-Christmas season is just fine now because we mostly have the woods to ourselves.
As to bad weather and reliability of a flinter, well that's the mystique of it all.