Funny, it’s the other way around for me: I used it as a topical antiseptic for years before I learnt that it was also sometimes added to mouth rinse. Perhaps it’s a Europe / US thing.
Anyway, as a topical antiseptic, it’s my top choice as it’s safe both for adults and children, odourless, colourless (no stains on clothes) and doesn’t sting when you apply it. After years of using it, I’d say it’s very effective, too.
I’ve checked the scratch this morning and it looked fine. As I said, it was not really a matter of concern, just curiosity.