Back in the 1980's, the concept of a shared-appreciation mortgage (SAM) was floated, although it never really caught on in the US. The idea was to effectively increase the borrower's down payment (lowering the necessary mortgage amount) or to lower the interest rate, thereby qualifying more people for mortgages. In essence, the borrower was selling a call similar to the one OP describes, but it was built into the terms of the mortgage.
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