10 weeks vegan here. Easiest diet ever, no cravings. I'm down 19 lbs (193-174, 6' tall). Dropping the chips and oreos took a few weeks, I just thought anything vegan was ok until I realized junk food is junk food. I cook twice a week and make enough to last a few days. It takes about an hour to cook. I sautee vegetables and put them on rice and quinoa or pasta. For breakfast I have a banana and a Larabar. For dessert I have grapes or watermelon. Before this I rarely ate healthy food. Chipotle is decent fast food when you aren't cooking.
This seems like a good diet, but it also doesn't seem like the vegan part is what is helping you out here, if you had ceased eating junk food and still ate meat you probably would have seen similar/the same results.
Stick with it! A vegan diet like you're eating has benefits far beyond weight loss -- you're less likely to get heart disease, cancer, and a whole bunch of other chronic diseases than omnivores.
I think they were saying that, despite being vegan, they took a bit to cut them out after realizing they wouldn't help with weight loss, since they are still junk food.
Rereading that again, I see how that could be the take-away now.
My first go through was how some people switching to a vegetarian diet say things like 'quitting bacon was the hardest, I kept going back to it for the first month".
Coming up to 20 year vegetarian. If you haven't, think about getting a pressure cooker. Beans / lentils chickpeas just became viable and quick. Soups / stews can be cooked in a few minutes and can be frozen and last forever
Second the pressure cooker. I can go from zero to an amazing lentil soup on the table in about 15-20 mins. I'm super lazy so for flavoring I use bouillon and dry seasonings. Everyone loves it.