Yes, Regan's own-root roses would have to be bare-root as well. They don't sell container roses by mail. And I agree that they would have to be of a reasonable size. What happens after that, though, is my concern.
I don't know whether you remember an own-root nursery called Amity. I think the nursery might still be open for business, but they don't do mail-order anymore. I bought many lovely plants from them, including many hybrid teas. I still have them, but not one of them has grown past 2 feet tall. Other roses from Amity (floribundas and shrub roses) have grown large, but the hybrid teas are permanently stuck at 18-24 inches and won't grow any taller.