Honestly, I’d say it would be much much worse than your examples. It would be erasing parts of history itself.

At my work PC they blocked all, but chrome… And I really don’t think Chrome is superior to Firefox at this point of time.

I am on Firefox since I think 2003. Never understood why anyone would use a non-free browser, even if it sometimes works faster. People are weird.

Have a look at Posteo. Might have all you need and starts at 1€/month. https://posteo.de/en