There are times that sticking out to the sides is better, but for tying purposes it does look better to angle back.
Yours probably stick out too much because of how close they are to the thorax, or the size of your thorax.
Also a larger head or how you wrap your thread at the head can either cause this or eliminate this.
Your side question about PT's being different and the answer is yes.
I prefer stocked/raised birds compared to wild birds. Also the feathers are drastically different the further back the feather comes from on the tail. The main or 1st feather is typically symetrical, while the others will have "good" fibers on one side of the feather, and "crappier" ones on the other. I say this because they can still be used for legs and wing cases, but make terrible bodies.
The further back you go in the tail clump, the worse they get, IMO.
I try and buy just the first feather. Heck, why not they are the same price usually.