If we get into it, I think that beliefs are a better abstraction that wishes. Beliefs structure relationships. How does a person believe that he relates to another person. So when I think of "wishing someone well", it's an English-language nuance that makes it an activity, but in reality it's a choice of what beliefs I hold. And, I find, the only beliefs that are a chore to carry around are those that don't serve me.
What makes you say that wishes are finite? Do you ration them out to your loved ones?