I think it is complicated.
On the one hand there is the person that may have a lot of casual sex but they are also properly educated about sex, they get tested every couple months, they take precautions, etc. Maybe they are more used to having conversations with potential partners about STD's.
On the flip side you may have the person that rarely has sex, never really has those conversations with their peers or doctor and maybe only gets tested during their yearly physical.
And yes I know I am very strongly generalizing here. I know people in both camps that do the opposite of what I am saying here.
So that is why I say that yes obviously more partners increases your chance of getting an STD, but you also can't just say that because someone does not have a lot of partners that you can't also risk getting something from them.
Edit: By properly educated I meant about sex... not anything else. Making that more clear
Second Edit: Regarding the men who have sex with men blood ban, I think that has been proven many times that there is no evidence for it and is purely from a puritanical stance.