-Path dependence has no relevance. You are still going to make a single choice at each event no matter if the choices depend on previous history or not.

-"there is no utility function" is an odd claim. A function can obviously be defined, so what's the objection? Note that in any case there is an implicit utility function for which each action you do take has the maximum utility. Of course, there's the recursive problem of choosing the "best" utility function, which just highlights that at some point we stumble upon certain fundamental principles of physics and ethics which are ultimately arbitrary in which we would guide our actions consistently.