Personally I've never found that(papain)to be the case.. YMMV. But it is a single-purpose addition to a FAK, and I tend to go for products with multi-purposes. I've used Benedryl cream or .5% cortisone cream (I think I have one with a bit of lidocaine in it for topical pain relief.. but not sure of the lidocaine) for stings (mosquito to hornets), poison ivy, "boat butt" (rash from days in a wet bathing suit) etc.

But in essence this is a matter of comfort more than anything I'd consider critical. Keep any of the above problems clean and avoid scratching (risking bacterial infections if you scratch), and you probably going to survive.