Since it's my trim, I'd like to respond! =) I like all the comments and opinions, because they let me see if I've missed something, because I AM just human! But I actually have reasons for the way I trim, and sharing them might help someone.
The bars were left alone becuse when I've removed any of it in the past, they popped right back up(on this horse). As long as they aren't above the rest of the wall when I'm finished, I'm leaving them alone for the most part. I've had excellent results in doing so, so even if they are bit longer than desired but not causing lameness, then they eventually correct themselves anyways.
For the flaps on the frog, I really don't remove much, ever, unless the foot has thrush already in it, then I will remove diseased pieces. These horses aren't kept in dirty, muddy pens, and aren't prone to thrush. I don't feel that removing those smaller flaps would have been any benefit to the hoof.
Basically, if my cutting something off won't improve the foot, I leave it.