Title Holding Trust + Property Insurance

There have been a number of posts regarding property insurance and trusts, usually recommending having the policy in the name of the trust or trustee OR having the trust or trustee being cited as additional insured. If I have a policy in my name but hold the ownership in the name of the trust or trustee what happens if there is a claim? Example: I am Joe Blow. Insured name on policy is “Joe Blow”. Title is actually held as “My LLC as trustee of the 123 Main Street Trust”. I (Joe Blow) am the beneficiary of the trust. Property burns down, claim filed. Do I have a problem?