Yeah, the surgical gloves thing never made sense. ...
One thing I've observed in, well, another field of controversy, is that liars exploit normal people's lack of awareness of what is ordinary in specialized circumstances. I've not taken training in advanced first aid, but I suspect wearing gloves, when available, is strongly urged when one might come into contact with blood (as would be likely during a riot).
It just occurred to me, wearing gloves would complicate using a weapon, had R come with the purpose of killing someone. In fact, by wearing the gloves R put safely assisting an injured person above dexterous self-defense.