Actually, that $10,000 will likely be joint debt, as well as any other of his expenses, including those for outings with his GF.
If you are sure about what you want in your settlement agreement, and he is willing to agree to it, then I guess it won't hurt much, though it probably won't help either.
Otherwise, I'd suggest you let your L's talk. There really is not much point to trying to work it out with him. The terms will keep shifting until the legal documents are drawn up and signed. Three things:
-- The longer you string it out, the less generous H will be.
-- You can always change your mind about what is acceptable. Trust me, H will flip flop plenty.
-- Don't sign anything on the sale of the property without talking to your L unless the funds are going into an account to divide in the settlement agreement or unless the profits or losses are marginal. (Marginal I guess would be plus or minus a few thousand dollars. In this economy, I'd err on getting the sale put through rather than haggling about an amount of money that will be inconsequential in a year or two.)