That is going to depend entirely on the terms of your STD and LTD policies, which we have not read. It's not determined by law, but by the insurance contract.
Someone in your HR or Benefits office should be able to answer your question.
Two things I am tired of typing: 1.) A wrongful termination does not mean that you were fired for something you didn't do; it means that you were fired for a reason prohibited by law. 2.) The above answer, whatever it is, assumes that no legally binding contract or CBA expressly says otherwise. If it does, the terms of the contract apply.