That wouldn't be much of a curse. If you get to make whatever future you want, who cares whether anyone believes you in advance?

Cassandra was just able to see the future (and no one would believe her).

Tangentially, I think it's interesting that Greek mythology takes such a clear stand on the nature of time travel: it's possible, but history (past, present, or future) can't be altered.

That is one of a couple of rival models in modern science fiction, and generally not a particularly popular one.