Quite a few "remedies" for snakebite, especially are actually detrimental, rather than beneficial. this included the traditional "cut and suck" procedure which was recommended in my youth - not so today.

Since a good proportion of bites are not loaded with venom, it can be worthwhile to see if there is evidence of envenomation (swelling, discoloration, etc). Mr. Snake may have realized he had better uses for his juice than wasting it on something non-edible. This probably accounts for the prevalence of so many bogus snake bite remedies.