Keeping this here for anyone who might need it. Please share freely so we can end the need to share it at all :/
@Chimaera

It doesnโ€™t erase the browser history on my machine (neither in Firefox nor in Chromium). The best way to avoid having your history recorded locally is to use a private window (in Firefox) or incognito mode (in Chrom(ium|e)).
@serlwch @Chimaera Incognito mode isn't #privacy-respecting. Safest way of browsing is by using #TOR browser
@shaedrich @Chimaera

Key word
locally.
@serlwch @Chimaera Sure thing. Just wanted to add this since the thread's topic is about privacy in general