I don't think cutting your calories in half would result in a plateau within a few months in most cases. That's quite a major reduction, pretty much a starvation diet.
The initial claim was about 300 kcal more than you need, though.
My experience suggests plateau happens every time, without regard to the type of dieting done, unless it's quite literally a starvation diet. The only time I've manage to lose more than 100 pounds was on a diet of about 400 kcal a day. Reducing my diet from about 3500 kcal/day to half that (by the simple method of not eating every other day) worked really well for about two months, and then plateaued; total reduction, about 50 pounds. I've resigned myself to losing in bursts and concentrating on not putting much back on in between.
Of course, my sample size in number of people is low... :)
Losing in bursts doesn't sound like it would be a healthy option for the rest of your body as well.
Do you include exercise at all? From what I've researched, and what trainers have told me, weight training is the most effective way to lose weight - when combined with calorie monitoring and some cardio.
Losing in bursts is probably less healthy than losing steadily, but more healthy than not losing at all. :)
Of course, anyone who has dieted long term knows that that's not the whole story. You might cut your calories in half and still plateau within a few months.