The issue with non-medical grade superglue is not infections per se, but tissue toxicity. Some of the components of regular superglue are potentially toxic to human tissue, and when you apply it to non-intact skin are capable of being absorbed into the body and potentially causing nasty effects (hair/teeth falling out, cancer, that sort of thing).
The US FDA is responsible for regulating such products in the US, so they would be the ones who decide what is allowable for use in medicine. The similar body in Australia, the TGA, has decreed that only medical grade superglue which is licensed by them as such can be used in health-care. I assume the US FDA has similar decrees, but have never checked. Of course, in a nation with high levels of pollutants in the air, anything is possible, I suppose.
Cheers
Mick