I PAID FOR MY LENDER'S LOAN TITLE INSURANCE POLICY, DOESN'T THAT PROTECT ME ALSO?

No.  A Loan title insurance policy protects the insured Lender that he has a valid enforceable lien on the property.  The buyer is not an insured on that policy and is not protected. It does not guarantee anything to the property owner and provides him no recourse to the title company should the title prove defective.