Subject to Section 366.2 of the Code of Civil Procedure, if there is no proceeding to administer the probate estate of the deceased settlor, and if the trustee does not file a proposed notice to creditors pursuant to Section 19003 and does not publish notice to creditors pursuant to Chapter 3 (commencing with Section 19040), then a beneficiary of the trust to whom payment, delivery, or transfer of the deceased settlor’s property is made pursuant to the terms of the trust is personally liable, to the extent provided in Section 19402, for the unsecured claims of the creditors of the deceased settlor’s probate
estate.