Investopedia definition: "Non-recourse debt is a type of loan secured by collateral, which is usually property. If the borrower defaults, the issuer can seize the collateral but cannot seek out the borrower for any further compensation, even if the collateral does not cover the full value of the defaulted amount".
[Which therefore means: a Recourse Loan does allow the Lender to come after other of your Assets if your original collateral doesn't cover your defaulted amount].
ie. All else being equal, you prefer a non-recourse Loan, but, why would you be defaulting in such a manner that caused your original collateral not to be sufficient? Cheers...
Also, recourse debt counts towards your dti and reported on your tax return, where non recourse does not. Having non recourse debt also helps on obtaining further loans because of this