> Some toothpaste can be a net-negative, like those with abrasives
Yup. Those toothpastes with extra whitening are wreaking havoc. It's effectively liquid sandpaper.
> Frothing and minty taste of toothpaste are mostly marketing
The frothing, sure. The mint? I mean, I like some kind of flavoring. Mint is nice.
> Maybe there's a case for fluoride, but there are other sources like tap water (and that's a whole digression of it's own).
There's definitely a case for the fluoride. Your tap water isn't enough.