Your body storing more fat is also a myth.
I diet like that VLCD and when I go back to eating 'right' I don't put any more on. I maintain or lose very slowly.
The thing about starvation mode not working is because it isn't maintainable. So, people get down to the weight they like and think 'yes I've done it!' And then go back to eating more calories than they burn and slowly put it all back on again. That's why it doesn't work.
I have friends who have had anorexia, they aren't fat now just because they eat healthily after starving themselves and making themselves ill for so long.
I tend to do VLCD after christmas periods, or periods of being really poorly. Over Christmas I ate a ridiculous amount of takeaways and chocolate and drank loads of alcohol and sat on my arse watching TV all day, for about 2 months. Then I got very poorly mid January and just lay on the sofa eating food and being waited on, so not moving at all.
I still didn't go over weight, but I was big for me and hated the mirror. So I'm doing a VLCD for a couple of weeks until I'm happy with what I see then I'm dieting slowly.
This for me personally is much more healthy, because if I don't, I don't see enough progress, get upset and start with the binging and throwing up, which firstly, doesn't help you lose weight and secondly, rots your insides and your teeth.
But that's me. Basically you have to do what works for you. If you'll go back to binging after eating a lot less for a week, then there's no point doing it and you should focus on losing slowly.