I wonder how much this will increase fatty acid oxidation rate by? Most stims increase the release of free fatty acids in the blood stream but most people well at least untrained people can't oxidize the fat as fast as its released. Also interupting ppar gamma potentially means insulin insensitivity and possible more circulating insulin which could blunt catecholamines. BAIBA seems interesting but PPAR-alpha activation has been tested a while ago with fibrates and good ole sesamin. From what I remember with sesamin was it was really effective at preventing weight gain vs causing straight fat loss. This stack looks excellent for preventing fat gain with maybe some slight fat loss with the beta-3 adrenic activation if taken long term. As for browing your fat to burn more fat I'm not sure how it will play out in the long run but it will be interesting. What I want to see come to market is a supplement that activates ppar-delta.
It should increase FAO significantly, I think. I don't think Fucoxanthin's (putative) down-regulation of PPARgamma will have the dramatic effects you predict, which I think are normally observed in models of faulty gene expression. Fibrates have complex pharmacological profiles which are very poorly understood, and their PPARa agonism is generally pretty weak. Sesamin has poor bioavailability and is metabolized largely to lignans like enterolactone and enterodiol.