It's not as simple as "easier/more efficient = more emotional energy to get over depression". In fact, you might have it backwards. Therapies such as behavioral activation therapy[0] exploit the fact that our mood can follow from our behaviors. (You might be familiar with this, for example: force yourself to smile for thirty seconds, and see how your mood changes.)
I experience a chronic, mild to moderate form of depression called dysthymia[1]. For me, there are two things that can make a world of difference in how my day goes. One is leaving the house shortly after getting up, which prevents me from starting the day by flopping on the couch and wasting hours online, then feeling guilty. The other is taking a shower after getting up, because if I don't, I generally won't leave the house. Both of these actually take effort, especially some days, and your read on things would suggest that just not doing them would leave me more time and energy to "try to get over" my depression. But in fact, it's precisely the immediate investment in myself and my day that makes the difference.
As it happens, cooking also ties in for me. I enjoy cooking, generally, and I feel proud of the food I cook for myself and especially for others. On the other hand, here's what happens when I order a pizza: I feel guilty about being lazy, and I feel hopeless about the prospect of getting out of whatever funk I'm in when I can't even get myself to put together a meal. That said, I take what I can get: I was alone a couple Thanksgivings ago, and had been in a low stretch for a few weeks, and it was a victory to make myself get up and go to the gas station for Bugles and Swedish Fish, rather than ordering in.
I'm telling you this personal stuff, which doesn't feel terribly comfortable, because I constantly hear naive bullshit[2] about how depression works, and it is supremely unhelpful. It is not simple. And my experience isn't going to be the same as anyone else's. But the person who has to scrounge up a meal, pay bills, and take care of others could absolutely be doing better than the person who "has it easy", because they've got structure, activities that get them out of their head, and others who they can be responsible for or even live for.
I'm not saying Soylent shouldn't be on the market, and I'm not saying pizza shouldn't be able to be delivered. But the idea that thinking about how all these factors fit together is "silly" and worth dismissing is really wrongheaded.
[0] https://en.wikipedia.org/wiki/Behavioral_activation