It wasn't a path of certain destruction, it was a path of probable destruction. She had a deep seated belief that her crew would come up with some magical solution to stop the degradation.
And it wasn't meaningless. They traveled as Voyager for eight months, accomplished meaningful things. The fact that they failed to communicate their existence to the real Voyager doesn't strip that time of its meaning.
Full marks on both points!!!! Especially as to the latter one, it makes a reflection of their experience all the more moving!!
