Hi,
Can't give you much detail about his trimming from those pics, but hooves are flared & there are mechanical issues contributing. Well balanced & well maintained hooves will help.
The farrier has confirmed that it is 'seedy toe' with the explanation that if he digs it out, there will be an opening which will require covering so that nothing gets in...thus, daily care & likely placement into a separate paddock where he cannot get it dirty. And that if this doesn't happen, dirt will get in then it's an even bigger problem! Thus, on horses such a Pegasus (he's really a 'paddock ornament') & with owners such as myself (enjoying his company with extremely occasional riding) it is best to let it take care of itself.
'Seedy toe/WLD' is an 'opportunistic' infection that comes from soil organisms. They are almost invariably anaerobic. So they thrive in 'closed' environments. That is one reason to 'open them up'. The other is to remove diseased material and allow for effective topical treatment of what is left. When it is left alone to 'take care of itself', it is insidious and can eat away inside the wall faster than new wall can grow. It can even infect the live tissue & then the bone if it's left to it's own devices. One memorable cadaver hoof I worked on(for a course), I dug... and dug and dug, only continuing to get black goop. I told my instructor that was about as far as I'd be willing to go on that horse if it were alive, without a vet and the horse anaesthetised. Then I went exploring... I dug into that crack a full 1" deep(!) without hitting anything that looked... like hoof. And yet, when I started widening the crevice, I hit blood and then bone at about the half inch mark. So this seedy infection had progressed at least half an inch into the bone before the poor horse was put down!
So... don't want to scare you, but if it's left untreated... It can then take a lot more than just a clean environment to fix. IME, having lived & worked in 'seedy central' environment for many years, while it is a pest to treat & environment can indeed make life more difficult, I would absolutely & positively advise NOT to just leave it to it's own devices & advise it's dealt with assertively.
Also in my 'seedy central' environment, it's more common than not for people NOT to have stables or other nice, clean, dry environments. Most horses are 24/7 paddock dwellers, who, for a big part of the year are frequently - or sometimes always - in wet, muddy paddocks. It is of course ideal if you can minimise or avoid this, especially when dealing with 'seedy' but it's just not feasible for many. While it's best to keep 'resects' or seedy holes open to the air & not to 'plug them up' (esp with anything oilbased), sometimes the 'lesser evil' is to do so, or else they'll just get filled with other gunk. In this situation, I use a mix of unprocessed beeswax(this & raw honey form a weak hydrogen peroxide as they break down) mixed with a little teatree oil and copper sulphate. After cutting/cleaning out the hole, often squirting it with a weak hydrogen peroxide mix, then I get a bit of the wax in my hand to soften(rubber gloves or at least wash hands well straight after, to avoid too much copper), I jam it in the hole as firmly as possible. I find that quite effective. And can be long lasting. While esp in 'less than ideal' environments, especially to begin with, it's best to treat every day or few, and I advise clients to do so at least 1-2 times weekly, esp as it sometimes comes out or allows crud in around it.... I have been out to clients 5 weeks later, tell them they're good for being diligent because the hole is cleanly plugged with beeswax... only for them to tell me they haven't touched the horse since I was last there!
You can see that the farrier is working to stop the crack via the the three horizontal lines (the top one is much finer than the bottom two) which he applied via filing. He does this each visit if his last attempt has grown out. He also explained that the bacteria inside grows when the temperature is high....if it is kept low, it can't grow as much. So he took some hoof off the top of the crack to help reduce the temp here also.
I don't get the reasoning of the last point at all. How is taking some off the top of the crack(is that the blood?) supposed to lower the temp of the whole foot/crack? He is right though that seedy bugs thrive when it's warm & wet & not so when it's really cold. Re the horizontal cuts, this, as you have seen, as it's continued above, doesn't achieve anything I'm afraid. Especially when mechanics & infection are also working against it. Correcting balance/reducing the stress on the hoof wall at the ground surface is important, as is treating the seedy.
Raw honey is great! But I'd soak or treat with something stronger than honey, to begin with at least, especially as it sounds like it's been 'left to it's own devices' for a long time, so may be a lot deeper than it looks on the surface. But if it's deep & closed, no soak or topical is going to get in enough by itself & 'resecting' may be needed.
Diet & nutrition are possibly part of the problem, and good nutrition is vital to health on all fronts & can therefore help anyway. Yeah, turmeric is good stuff isn't it? But do look at the rest of his diet & nutrition too. I didn't know that turmeric was high in selenium, and while it's an important nutrient, it's also toxic in overdose with a narrow 'margin', so if he's getting enough in the rest of his diet, it
could actually be harmful to add turmeric. Balance of nutrients is important & other minerals can also be unhealthy if in oversupply too, so it's best to evaluate the whole diet if you haven't already, before deciding what specific supps may or may not be good. FeedXL.com is one very helpful option for working out balanced diets.