A mind can only want to change its utility function if such a desire is a part of their utility function already. Otherwise you’re not talking about the true utility function but only about an inprecise approximation of it.
Example: An addict who craves a fix but wants to no longer crave it—you may think that his utility function is about procuring the fix, but that’s not the true utility function or he wouldn’t want to stop craving it—the real utility function is perhaps just about feeling better.
A mind can only want to change its utility function if such a desire is a part of their utility function already. Otherwise you’re not talking about the true utility function but only about an inprecise approximation of it.
Example: An addict who craves a fix but wants to no longer crave it—you may think that his utility function is about procuring the fix, but that’s not the true utility function or he wouldn’t want to stop craving it—the real utility function is perhaps just about feeling better.