I heard that "if you go straight long enough, you end up where you were", as analogous to walking on the surface of a globe. Are you saying that evidence against that has surfaced?
The current assumption of the cosmological standard model is spatial flatness, which is compatible with the observations. In principle, space could still curve back on itself on a large enough scale, but assuming there's no big crunch coming, you'd have to go straight for a longer-than-infinite duration to come back to the place you started from.
What does a big crunch have to do with it? Maybe I don't know what a big crunch is... I currently think the big crunch is the idea that gravity will eventually coalesce all matter into a single point.
In an expanding universe, objects can be separated by a cosmic horizon. Nevertheless, from the comoving perspective, they may very well still move towards each other - but without ever meeting up. However, if you extended conformal time beyond infinity, they would. That's of course not physically possible, so that particular comment was tongue in cheek.