did a nice trim. I disagree slightly with one thing, the bars don't cause the heel to run under, although they do need to be trimmed and can cause all kinds of problems. The running forward problem usually begins at the toe, and the heel follows.
It looks like the farrier ignores your bars completely, which is common. Sometimes it causes no problems, and sometimes it causes serious problems. Many farriers see the hoof wall as a round rim when actually it curves around and forms the little triangle area of the bars.
Bandit will be more sound over rough ground with shoes on. Regardless of whether the trim is good or not, the shoes will lift his sole up so he won't feel the rocks and hard matter very much. Shoes make horses more sound unless the farrier does a terrible job.
It's the long term health of the hoof that is often affected by shoes, and that can be less easy to spot because it happens gradually and the shoe will cover for many issues that would lame the horse barefoot.
I'm not saying it is wrong to put shoes on or to not shoe Bandit. But I believe if a person puts shoes on horses, they need to be more aware and watchful for problems that may develop over time.
It can be legitimate to shoe for part of a year because protection is needed and you don't want to boot. It's less ideal, but a choice many people make.
What I don't like about the shod pictures is that it's not clear where the hoof breakover is supposed to be. A knowledgeable farrier will peel back the tip of the frog and find out where it attaches to the sole. From the barefoot pic, the frog looks too close to the end of the sole. That either means someone has trimmed the toe back too far, or the frog is stretched forward. More often the frog is stretched.
The center of the toe of the shoe should be 1 to 1 1/4 inches in front of the actual tip of the frog, on a horse Bandit's size.
It's good you're not getting charged much for the shoes...but it's not a great job, I'm afraid. It looks like the shoes' edges are not flush with the outer hoof wall edges, which puts them at danger for being ripped off if the horse steps on those edges. The ends of the right front do not match up evenly with each other, and stick out past the frog! Again, any overtracking and Bandit can step on those ends and rip the shoe off. A farrier needs to match the size of the shoe exactly to the hoof, and if either hoof or shoe is a mm oversize, the wall or shoe needs to be rasped to make the edges flush. Good farriers I've had will heat the shoe and hammer it narrower or wider to adjust it slightly to fit the shape of the hoof. The shoes just out of the box often don't fit the horse perfectly.
The bars will probably wear off some if you ride over abrasive enough surfaces, even with a shoe on. But left laid over the way they are, they can trap small gravel which can wear into the sole under the bar, which can cause bruising or abscessing. I've seen many horses that the farriers shoe without trimming the bars, and I've dealt with some of the abscess under the bars for people.
On hard surfaces like yours, taking out sole will lame a horse. But a trimmer should know how to remove bars which are hard hoof wall and press into the sole versus taking out sole which is there to protect the hoof.
Going six weeks instead of eight is a good move.
I'm working more on the information on hooves I'm posting on my pages, so if you ever get time to read a bit it could be helpful to learn how to assess your own hooves.