The hundreds of millions of homes in the US not in NYC and SF also ~all have garbage disposals and no major rat problems. (NYC banned garbage disposals until the '90s when it was lifted, and its rat population predates that by over a century.).
I don't ever peel anything over the sink, it's just the small particles of stuff from
washing that fills up the filter. This isn't a "you're holding it wrong".
I get the impression it's a similar objection to air conditioning: it's regarded as foreign, atypical, and unnecessary luxury, so plausible justifications about why it's bad are trotted out.
One of my favorite parts of visiting asia is discovering what fun new things have been electrified and automated. It seems europeans tend to have the opposite culture, and regard using electricity as vaguely sinful.