we have a loan agreement that gives the lender a share of any increase in value upon sale or death. Does anyone cashout refi?

Those are very special loans, that generally are used with very special first time buyer programs. You'll need to ask the specific lender for that exact program, but generally speaking the answer is no. I lend in MN, WI, IA, ND, SD. Find me at MNBestRates.com - Cambria Mortgage, NMLS 274132