I have knowledge from actual personal experience. I had roughly 2 dozen adult BG in a 100 gallon Po'Boy Ras and added separate batches of roughly 36 each Gambusia and FHM. The Gams went in first, and it took 4 days for the BG to catch and eat all of them in a 100 gallon trough. Then I put the FHM in; they were all gone in 2 days.
So yes, BG will eat adult FHM, and can catch them easier than the faster, smaller Gambusia. I suspect BG would have no trouble catching and eating juvenile FHM as well.