Had a hard time being sure about too much from those pics. Some good ones there, but lighting, blurriness, angles of pics, dirty feet & not newly trimmed all make critiques harder. Please see link in my signature for tips on picture taking.
At any rate, agree basically with Sharpie. Not a terrible job, but I agree with your 'NQR' worries.
...and there's something funny about his foot at the coronary band. Almost like it's sunken and his coffin bone is moved further down...
Good observation! Can't tell how much or little it is with these pics, but I agree it appears these hooves are 'stretched' forward & dropped more than they may seem - dorsal walls appear quite straight without flares, so it could look like the h/p angles are right. But coronary border appearing pushed up, hairline angle, particularly right at the toe, heel height & possible angle, amount of hoof in front of the frog, etc, lead me to suspect all is not as well as it may seem with regard to hoof balance. Quarter walls are obviously flared. Bars also appear overgrown.
I'm curious what made the vet think heels were too low, and what did the farrier measure to check his work? Does he trim to certain measurements & angles?
said that when horses age , their feet spread, their coffin bone gets lower to the ground.
Yes, they don't have to be old for that to happen, and it's not due to age IME, but how they're managed. I think what you mean by 'spread' is that the laminae 'stretch' but the hoof walls stay straight? I think this is more to do with breed - arabs for eg. Seem to have stronger walls that are more likely to keep growing straight despite lack of firm attachement, while TBs are more likely to become 'dishy'. I suspect this horse's quarters have dished because they've been under more pressure.