Yes because cooking is not just a physical chore. It's how people customize and decide what to suit their personal tastes, and it's an action that requires thinking and intent. The act of choosing one option over the other given variety.

Unless you get every single possible option through some magical food provider, you will still have to put in work towards the food you eat. But even then, if I got to eat burritos every day (my favorite food), I would still eat something else.

This is all moot, because for a lot of people cooking is fun and a social activity.

Until we get something akin to a replicator [1], I think we will. I would propose that even afterwards, there will still be some who will cook the "old fashioned way".

[1] https://en.wikipedia.org/wiki/Replicator_(Star_Trek)

My guess is that in a hundred years people will either not need to eat, and thus few will have kitchens, or people will need to eat and will generally be more resource-poor than today, thus requiring them to have kitchens and to use them more often than we do.

Yes