2 Primary loophole?

[Jordan Jones]

Without a divorce, legal separation agreement, or child support order etc, a husband will buy the wife off the mortgage, have her sign a quitclaim deed on the property. She now has no ownership interest, is not listed on the mortgage, title, or deed. Is she legally able to buy another property as her primary residence even though she is still married? Under what grounds could she legally be denied this mortgage? I feel like more people would do this if it was this easy.