Just calorie counting?

I just counted calories to lose weight. I lost around 50 pounds in just under a year, have stayed at a healthy weight for 8 years since the same way.

As I got going with logging, I paid attention to which food choices kept me mostly full and happy, with a good energy level. That made it easier to stick with it.

I didn't do any of those named diets. I kept eating the same range of foods, but changed portion sizes or frequencies of some foods. Portions of tasty, filling lower-calorie things increased, portions or frequencies of higher-calorie things reduced. Logging made that pretty easy.

I didn't even much increase exercise to lose weight. Exercise is important for best health, but I was already quite active even while obese. (Stayed obese for a dozen years while working out 6 days most weeks, in fact. It's pretty easy to eat those extra few hundred calories and not even notice.)

I do pay attention to nutrition, but that's more about health than weight management.

I don't recommend it, and it was done mostly to make a point, but people have lost weight eating mostly snack foods like Twinkies, only meals from McDonald's, mostly foods purchased at convenience stores, and more goofy things like that. Most of those people's health markers improved, too, just from the weight loss.

Weight management is about calories, at the foundation. If a special way of eating helps a person stick with reduced calories more easily, and they can see themselves eating that way long term to keep weight off, then the special way of eating is helpful. Otherwise, not helpful.

Some people choose keto, fasting, etc., because they think those diets have health benefits beyond weight management. That's fine for them, but those things don't suit me, and my health is fine enough now that I'm at a good weight, getting reasonable nutrition, eating foods I enjoy.

Finding a way to eat that a person can stick with reasonably happily long enough to lose weight (and keep it off) is IMO important. Exactly what that eating routine is will differ individually.

I'm wishing you success: IME the results are more than worth the effort!