I am not anything, but a doc during am outdoor first aid cert course insisted that the real benefit of Neosporin was that it was petroleum jelly and it created a hydrophobic/biologically inert barrier over cleaned/irrigated membranes and wounds (blocking vectors of infection), and that every bug was already resistant to its antibiotic mix and had been for decades.
I did take a bunch of biology and microbio and he made a very convincing case for using petroleum jelly on nicks, cuts, etc.
but I am, again, not any sort of human health professional.