I don't know if anti-bacterial lotion would really help per say, if it does, I don't think it's the anti-bacterial portion that helps prevent razor burn. I'd like to think anti-bacterial lotion might irritate it more; anti-bacterial (from two basic standpoints) basically means it has a certain amount of:

A. Alcohol- particularly isopropyl or ethanol (yes, it's true that you can get drunk off of some hand sanitizers- ethanol is drinking alcohol)
B. Non-prescription weaker antibiotics suspended in petroleum jelly

I'm assuming you're meaning the latter, in which case, it would be the moisurizing properties of the petroleum jelly that would help prevent or help razor burn. Razor burn is caused by irritation by means of the friction of the blade on sensitive skin; it's not a bacterial infection or infestation (although ingrown hairs can accumulate bacteria akin to pimples, but it's mostly clogged hair follicles from the hair growing the wrong way).

I like to use new razors every time, and shaving gel. Petroleum jelly does help soothe the burn afterwards, in the case that I do get razor burn.