Some things to keep in mind for this topic..
Compost is an aerobic, living, breathing material. It is thriving with bacteria, archaea and fungi, as well as slightly larger beasties including Protozoa, amoeba, etc, etc... Brown goop sealed in a bottle is not an aerobic, living, breathing material. Yes, there may be some bacteria and fungi present in their inactive, dormant form, but the fact that this bottle can sit sealed on a shelf for a year or more before use without "spoiling" is a clear indication that the microbes (if present) are not healthy and active. If they were, they would quickly use up all the oxygen in the head space of that bottle. Then you would start generating some really foul smells and phytotoxic compounds as the anaerobic microbes take off.
I would think of that Big Bloom more as a food source for the microbes present in your soil, and less as a source of the microbes themselves. Adding some to a brew that already includes worm castings likely won't hurt a thing, but it probably won't provide much benefit either. When it comes to compost teas, I have honestly found that simpler is better. Castings/compost, molasses, and water is a great starting point which consistently produces good AACT. From there, SMALL additions of kelp meal, alfalfa meal or fish hydrolysate can be added if you'd like.
OF COURSE don't be afraid to experiment, but what I wrote above is the consensus from folks who have dedicated their lives and careers to studying the subject. I trust them and their high powered microscopes.
Good luck!