Actually, they said it was Pyrodinium bahamense , which I'm fairly sure you don't want in cuts either. In general, I don't want saltwater in my cuts period.... That's Vibrio Harveyi. Probably don't want to get that in an open cut or your mouth.
In a few months the bioluminescence switches from that to Mnemiopsis leidyi.
This is one of the few areas of FL that gets both options though.