They bubble forward a bit, just in case everyone took a timeout (maybe a toxin was released and there’s a cave full of bubbles waiting for the earth to repair, who knows), but only a few new people show up. Not even enough to repopulate the species. The weird thing is that your status is determined by where you left from not how rich you are. A powerful family skips forward and finds themselves lower status than a group of lower-upper class people with what amounts to top of the line camping gear, which is so much newer than the family’s gear that everything it can do it does better than theirs.
There’s one reclusive person who basically has a space ship. She has been away from humans so long she is barely human (relatable) anymore. She goes out to check other solar systems and finds nothing there either.
The implication is that either we gave up or we ascended somehow, but since they can only travel forward there’s no way to know. They missed the boat.
The bubbles in Vinge's story send people to a future they don't know, and that may be hostile or deserted (I think he wrote a sequel with that idea).