Like Emmie, I had always been able to lose weight via calories-in/calories-out and had my RMR tested with the best possible equipment regularly. And it worked for years, until it stopped working. Point in fact, I was eating 500 calories below my RMR in addition to kickboxing 5 days a week, running 3 days a week and vball on the weekends. I did this for 10 weeks straight and, despite being 20 lbs or so overweight, did not lose a single pound (nor did I gain any muscle). My nutritionist blames it on some fad diets/yo-yo dieting I did in the months prior to going back to calories-in/calories-out. The body can attempt to outsmart you if you have given it reason to think that you will do it harm (starve it, over-train it, etc.). I am living proof. Sometimes you have to heal your body.
There is conflicting evidence of whether a refeed helps or not. Some say yes, some say no. The only way you can know is to give it a shot and see how it works for you. For many, weight loss is not a good enough reason to re-introduce bad foods into your diet (nor are the resultant cravings) and they prefer the overall health that PB provides even if they are stuck at a weightloss plateau. Perhaps your goals vary and you are willing to take this chance. It appears to me that whether it works, or whether you "should", is an individualized decision.
"If you won't be better tomorrow than you are today, what do you need tomorrow for?"