You have heard this same thing. This is a rather simple process. A standard owner occupied refi with the title work being done in his name only and a quit-claim (releasing your interest-conditional to closing the loan off course).
Generally, you will have to sign the quit-claim just prior to completing the underwriting process, but the quit-claim that is prepared is conditional on the closing and non-recision of the loan under your ex's name. The struggle may be his credit or DSR. These are common victims of a divorce, as one party may get the debt, but joint debt is still reported. Still, he should expect to provide full documentation including a copy of the filed divorce and any child support orders.
It does not matter if he goes to a direct lender or a broker, he just needs to get it done. I suposse that this is a part of your property disposision order, which is enforceable by the court, assuming that he can qualify. Make him show you that he is proceeding with i title transfer refi.
Ken Bates