Play Store being a cesspit is indeed a problem! But it still is making a constant effort to drive away scammers, so scams don't last too long there. Scammers show sleek-looking web pages offering to install an "official app" from their own apk. Or they have an app that clandestinely sideloads another app. This is being curbed.

But it's limited to a one-time action, not encumbered by additional papers or payment. I don't foresee any trouble using F-Droid (which I use a lot) after I have dismissed the scary screens and confirmed that I know what I'm doing.