I'd be curious if this is a recent* change in methods, or a recent* push to ensure people are doing it.
*recent being the few years between when I've taken first aid courses.
It certainly wouldn't surprise me to hear that Neosporin et al are usually unnecessary, but are they actually bad? And if they're bad because antibiotic resistance, are things like hydrogen peroxide and rubbing alcohol also bad?
Your mouth is full of bacteria, some of which could be harmful when introduced into an open wound. Your home first-aid kit is unlikely to be perfectly sterile, or as versatile as an entire medical clinic. If you are in the wilderness, and licking is the only means you have at your disposal to clean a wound, go for it. Your mouth is less dirty than actual dirt. Otherwise, use filtered, boiled water to wash, and a clean, sterile bandage to dress. [A single application of] antibiotic ointment is unlikely to hurt, but painting the surrounding skin with iodine would be better, and that kind of antimicrobial power isn't typically found at home, unless you have livestock and didn't care for the magnitude of your vet bills.
Povidone iodine in wound healing: A review of current concepts and practices
Abstract
BACKGROUND: Of the many antimicrobial agents available, iodophore-based formulations such as povidone iodine have remained popular after decades of use for antisepsis and wound healing applications due to their favorable efficacy and tolerability. Povidone iodine's broad spectrum of activity, ability to penetrate biofilms, lack of associated resistance, anti-inflammatory properties, low cytotoxicity and good tolerability have been cited as important factors, and no negative effect on wound healing has been observed in clinical practice. Over the past few decades, numerous reports on the use of povidone iodine have been published, however, many of these studies are of differing design, endpoints, and quality. More recent data clearly supports its use in wound healing.
METHODS: Based on data collected through PubMed using specified search criteria based on above topics and clinical experience of the authors, this article will review preclinical and clinical safety and efficacy data on the use of povidone iodine in wound healing and its implications for the control of infection and inflammation, together with the authors' advice for the successful treatment of acute and chronic wounds.
RESULTS AND CONCLUSION: Povidone iodine has many characteristics that position it extraordinarily well for wound healing, including its broad antimicrobial spectrum, lack of resistance, efficacy against biofilms, good tolerability and its effect on excessive inflammation. Due to its rapid, potent, broad-spectrum antimicrobial properties, and favorable risk/benefit profile, povidone iodine is expected to remain a highly effective treatment for acute and chronic wounds in the foreseeable future.
Bigliardi PL, Alsagoff SAL, El-Kafrawi HY, Pyon JK, Wa CTC, Villa MA.
Int J Surg. 2017 Aug;44:260-268. doi: 10.1016/j.ijsu.2017.06.073. Epub June 23 2017.
http://www.journal-surgery.net/article/S1743-9191(17)30536-8...
In my experience, the issue with Neosporin (besides selecting for resistant bacterial populations) is that people develop a rapid counterreaction if they use it too long. The same applies to so-called "triple antibiotic ointments" and such.
Peroxide and isopropanol are more of an issue for healing, since they can be toxic to tissues.
Just keep it clean and let the body sort it out.
This isn't to say there isn't a role for topical antiseptics, but that role is probably right at the beginning after the wound is sustained. I'll go with "early" but definitely not "often."
The general stance here makes sense, though; possibly one non-antibiotic clean on a fresh injury, then just leave it alone.
I find this to be especially true if you're in a dirty environment such as when you're hunting or hiking.