That was my first thought (and what I think the path would be for getting this browser experience on Android). It's basically Firefox for Android, private browsing mode with tracking protection enabled, but it doesn't seem to be possible to set private browsing as the default. Thus any link from other applications will automatically open in a tracking friendly context first.
I was looking for the wrong about:config value. While you can't have private browsing mode be the default, it is in fact possible to enable tracking protection outside private browsing mode, so you can get these same benefits (privacy.trackingprotection.enabled in about:config).