@Jenifer Levini You're assertion that the bank is screwed because some other entity has control of the property is not correct. The mortgage is a lien on the property, not the owner. The lien is still enforceable through foreclosure if the mortgage payment doesn't get paid. This is one of the main reasons Banks and individuals do title searches on properties before buying. Not just to see who actually owns it, but to find out what liens exist on the property. If one of the lien holders does not get paid, then that lien holder has the right to begin a foreclosure, no matter who owns or controls the property.
If a title search paid for by a potential buyer of property came back with liens on the property, the buyer would back out because they know the lien holder could come and demand money, and if money isn't paid a foreclosure could happen. Moral of the story... If you're buying a property, be sure to do a title search to guarantee no liens are on the property, or someone may come and foreclose on you for payment.
However when a person who has title of a property, then transfers that title to a Trust or LLC which which he also controls, he's not worried about the "clouded" title, because either way he's ultimately responsible for paying the bank. Nobody is screwed out of their money. The same human being is paying the same payment to the bank. And if payments stop, the bank still has the right to foreclose, just as they always did.