'acne vulgaris' is the correct term, although no MD's I know say more than 'acne'.
I'm somewhat dubious about the applicability of the research. This is a pro-biotic treatment - there are several experts here in the field, so I've seen a lot of the troubles they face.
The biggest issue with probiotics is that you usually need to wipeout the existing bacteria to get permanent colonization by the probiotic strain - i.e. give the patient a massive antibiotic treatment, followed by massive dosing of the probiotic bacteria. This is not safe - these kinds of antibiotic treatments make you suceptable to things like c. difficile - far to serious a threat for a cosmetic treatment.
You might see a temporary relief with regular application - at least transiently. However, infrequent exposure to a probiotic (plus whatever compound(s) it makes) is a sure-fire way to evolve resistant strains of the acne-causing bacteria on your skin...