The straight sided cases don't need annealing in my opinion even though I am a big fan of annealing on brass cases.
Straight sided cases don't get the work that bottle necked do and like mentioned, keeping them trimmed especially if you are crimping is more important.
Watch for over sizing. (You will be able to see the bullet seating depth because of the bulge in the case after loading. If this occurs, I recommend getting different dies) Over sizing will reduce case life.
J E CUSTOM
Curious about what you mean "over resizing the brass"? I use the plug die/chamfer die to bell-mouth the the brass. I'm just having difficulty setting the crimp die, for that reason I am starting to dislike the Hornady dies. I have loaded many straight walled pistol/rifle ammunition, never an issue, this one seems to be different. This is the reason that I posted this thread to figure out if there's something that I am or am not doing that will eliminate this issue.