If you are concerned that white hooves are weaker than black, don't be. Hoof strength depends more on the breed of horse and the moisture content of the hoof. Poor nutrition can also be an issue. Then you get the odd individual who is unfortunately born with crummy hooves despite the breed, good diet and the best of farriery care!
My Appy mare had two striped and two white hooves and they were like granite. The same goes for my Welsh cob x. The TB x has one white hoof which is the same strength as the three black ones. The Dartmoor has four black hooves and they are no tougher to trim than the others (though it's more back breaking because he's tiny!).
The colour of the hoof is influenced by the skin colour closest to the hoof. White hooves show up damage, eg bruising, that you wouldn't necessarily notice on a black hoof. - this is probably where the Old Wives Tale originated from.
A white hooved horse is no less likely to be able to transition to barefoot. Just bear in mind the above factors.