yup, browsers that use their own engine do work without the webview - chromium-based browsers like cromite/droidchrome/thorium/whatever and firefox-based browsers like firefox/fennec/ironfox etc
Yes, if you use Firefox or one of its forks. They use a different engine.
However, many things on Android rely on Android System Webview. Tons of apps use it to render content, my Lemmy client Voyager uses it. Tiktok, Facebook, Instagram, all use it, your bank or phone service provider probably use it too.