You have to force yourself. The same way people who are obese have to force themselves not to eat enough for their appetite, your eating cycle or whatever it's called is disrupted. You'll need to make an effort for a good week until your body starts telling you when to eat again. And yes, you'll probably dislike it a lot in the beginning, just like obeses are all "I'm going to die! I need more food! I'm feeling faint!" when they start dieting.
But you know, you don't have to schedule it per se. It's what most people do because it's practical to do so, but as long as you eat all you need daily, it's fine. Be it in 10 snacks or one huge meal. Though the one huge meal might be hard on digestion, but that's another story. So yeah. Focus on eating enough daily. If you want, you can schedule actual meals like people usually do, but it's not necessary.
And uhm... It's quite a minority of anorexics who are happy, if you ask me. Anorexia is much more widespread than those "thinspo" people. I would be really surprised if those who are like that are 5 % of all anorexics. Most of them look in the mirror, hate how they're fat, lose weight, still see themselves as fat, etc. They hate themselves to the bitter end. Of course, not every anorexic is the same, but you get the idea. Until they eventually start fainting at school or something like that and brought to the hospital by force.
And even those "thinspo" people... I'm not an expert, but I don't think they're so happy. They post their pictures to mark their progress, or something, the way I see it. Like some do for their transition. Except anorexics don't have a measurable goal. They want to get to a point where they stop thinking they're fat, which probably never happens, or just get as thin as humanly possible while staying alive. Something like that. They may be happier, somewhat, when they're sickly thin, but the issue stays. And it has disastrous short- and long-term consequences on their health.
In all honesty, I think a decent part of your distress/depression is directly from not eating well. You can't bring yourself to do anything, you say... Heard of anemia? It's malfunctioning red cells. It can have a lot of causes, but the most common ones are the lack of vitamin B12 and the lack of iron. As a vegetarian who seriously doesn't cook/eat well often enough, I have anemia these months. Probably B12, but I'm not sure.
Anyway. Well, just that one small aspect of not eating well enough has consequences for me. I lack energy, especially at the end of the day, my physical endurance is meh and my aunt recently told me I looked sick pale. I haven't looked up the consequences of lacking every nutrient that you lack, but if you ate well, I'm sure you'd be surprised by how much better you feel.
Lastly, people who show off how thin they are, if they're really happy, there's a chance they're not anorexics. They could be simply one of those people who are naturally underweight. But well, I'm no expert on anorexia.