It mostly follows from whether you're sailing or flying, since sailings go from Ushuaia and fly cruises from Punta Arenas. The factor people miss is the passport. If a Chilean visa is difficult for your nationality, that pushes you toward sailing from Argentina. If an Argentinian visa is the hard one, flying from Chile solves it. This deserves asking early, not after you've fallen in love with a specific departure.
We ask about nationality before recommending a routing rather than after, precisely because this has upended plans before.
We can't give you the current visa rules for your passport from here, because they change and getting it wrong strands somebody. Check your own government's guidance and confirm with the relevant consulate. What we can do is flag early that the question matters, and steer the routing around the answer you get.