Is anesthesia differant in needle pain?

Like I had something done yesterday and it doesn't require cutting so he game me 3 shots maybe and the shots were way less then I expected it.. I thought hell kill me lol.. but it's not bad really.. but my question is that does it depend on the problem for them to give you a harder shot of anesthesia? Or the shot is all the same, because the anesthesia was good but I don't think it's hard enough for cutting
Is anesthesia differant in needle pain?
Post Opinion