I've not tried that and I don't really want to be tinkering with browsers everywhere (I use 2 desktops, 2 laptops and 1 smartphone). I need something easy enough.

I initially hoped that ProtonMail = Gmail + privacy but in its current state and with a big archive, it's ProtonMail = Gmail + privacy - searchability, which is frankly less compelling.

So far, I've moved all communications with banks, shopping sites and private conversations to Proton, but Gmail remains important for the rest and I don't find it handy to need managing both.