tallyho!
Following a strict mediterranean diet...
I would be 99% certain mine cant. Has a whopping great big crack up one hoof, caused by an injury done years ago. Probably will never heal up properly, although has got "neater" with regular shoeing and hoof dressing. Would I take the shoe off this horse - no way whilst she is in work. If she was ever off work/on box rest, it may be worth a try, however, as she is, she is better with shoes on. It helps to keeo the crack "together", and I would not want the bottom of the crack coming into contact with the ground and chipping away.
Forgive me wench but I don't see it that this is the way to heal cracks. Injury or no. I have seen a similar injury which has healed. The horse got it when barefoot and it grew down. It has a groove in it and there is a slight wave on the coronet but the horn there is the same quality as the rest of the horn. It's been there for nearly 10 years.
Just pointing out that shoes are not the only way to deal with coronet injury.
Also, cracks that appear in the hoof not due to injury are nearly always balance related and horn quality related and are easily restored. Sometimes it's best to let nature sort things out.
We have to accept that it isn't possible in this country for all horses to go barefoot for many reasons.
If we lived in an ideal environment e.g. Spain where it's dry and forage is of the right type then unless there is a serious pathological reason, then all horses could go barefoot. Many horses do spend their lives unshod over there anyway on some really tough terrain. I think they thrive because they are allowed to roam and have a natural diet and are unsupplemented with grains and rich foods. They find what they need from the land.
Of course, not ideal to keep a hobby horse like this. It would take you all day to fetch it to go out!
So, it's the way we keep them that determines whether or not they can go barefoot. Not the horse.