Do you mean at the time end, or at the distance end?
These stars are orbiting black holes, so they aren't traveling linearly to the distance end of the universe.
As for the time end of the universe, nobody knows for sure how the universe will come to an end. But if these objects are very hot due to their speed, then perhaps they will live a bit longer than others, unless they explode before then :)
Personally, this is one of my favorite Wikipedia articles. People talk about having a larger perspective, but this page outlines the extreme limits to that.
