> We haven't seen how Starship would deal with crosswinds in the atmosphere being predicted wrong.
Winds are not a significant factor in the trajectory of the ship. Reason is that it spends almost all of it's time very high, above all weather, and only descends to the less stable areas of the atmosphere at the very end, when it's in a vertical belly-flop, going very rapidly through all the different weather layers. You can see this clearly in the return video, at 2 minutes before landing it was still 15km up. And when it's high, it has much more ability to steer by adjusting drag than any winds can move it up there.
What could actually be a problem is sudden high winds or other problems at the landing site. The ship commits to a landing when it does the deorbit burn ~60m before landing. at L-20m, it has about 1000km of cross-range capability, at L-10m only 200km, and after that it goes down quickly, with only 50km at L-5m.
If it's coming back with something valuable, you'd better have plenty of divert options.