But I imagine you'd probably go there to get away from things, and just rely on internet when absolutely needed.
Which is still pretty mind-blowing.
No one wants to use satellite as their daily driver, but almost by definition some of the best places on the planet are necessarily a long way from a) people, and b) modern infrastructure. Everything is a tradeoff.
Most video games are perfectly playable -- but I suspect you meant most multiplayer video games, and yes, that latency's not going to work for you.
I'm too excited for Starlink capabilities for offshore sailing and working (though sailing is involved enough that working on the side didn't work well for me before).
However, if you're earning a good salary, I would suggest Lake Hawea if you want to still be part of society. (and you should still be covered by the nations gig fibre network there)
But I have a 5gz wireless connection from Netspeed that works just fine for video conferencing and collaboration. It's more expensive than fibre and it comes with data limits, but it lets me work from where I want to live, so I consider the extra cost to be worth it.