Personally, I'm not a fan of BCAA supplementation.
Especially in the context of a diet already rich in quality protein whole foods. From what I see the supplement companies tout as benefits of supplemental BCAA, it turns me completely off. Claims are unfounded to date in the context of the population they're directing their marketing towards; typically bodybuilders or ethusiasts looking to add/maintain muscle.
BCAA's, especially leucine, are important, but the addition of some on top of an already BCAA-rich diet is relatively unknown. We already know that protein synthesis is maxed out by a relatively low dose of proteins, in a 75kg male, approximately 20grams of whey. Once amounts get much over this, they start to be oxidised off, as the body has to do something with the amino acids.
The main trials that show a good benefit of BCAA's are typically those that give a dose when the subjects are taking in extremely low levels of protein. I remember one of the main ones pushed by the supplemetns company included BCAA supplements on top of 50g of protein in dieting subjects. When you are deficient in BCAA's, then adding them in is useful. When you have excessive amino acids like most bbrs would be, the situation is somewhat different.