You hear it left, right, and center these days -- the problem with modern people is that they don't COOK anymore! Well, anyone who says this is obviously just hanging around with a pack of non-cookers, because LOTS of people cook. Some people I know have exalted notions of their talents in that direction, too, because they and their families like their products ... but that's another story! ;-)
Maybe "the problem with modern people" is that they like to cook (and eat) things that really aren't that good for them. Just look at what people post on FB and Pinterest -- cakes and cookies and gooey carby casseroles. I don't deny that they look tasty, but if you're using your cooking-energy making those, you're not making the things that will help you get (or stay) lean.
A person doesn't HAVE to do a lot of cooking to eat low-carb-healthy. A person can do a lot of cooking and set themselves up for health catastrophes, too. Choose your path!
One can eat low-carb at restaurants -- it's not that hard (it's much harder to eat LC-paleo). You can carry-out LC from grocery stores. You can spend a half-hour in the kitchen and have a LC feast. NOT COOKING is not the problem!
If you have a copy of the "Fat Fast Cookbook" by Dana Carpender & friends, you have basically all you need -- add extra protein to her recipes and they'll feed you 365 days a year! :-) I consider Dana the greatest living cookbook-writer....
The problem is what we choose to eat, not whether we cook it ourselves or otherwise.