In Safari on iOS I have all the main pages I use as favourites, so that they show on the home screen of Safari.

Likewise I have links in the bookmarks bar on desktop.

I use these links to navigate to the main sites I use. And log in from there.

I don’t really need to think that way either.

But I agree that eliminating the possibility all-together is a nice benefit of using the browser integration, that I am missing out on by not using it.

Which works great until tags.tiqcdn.com, insuit.net or widget-mediator.zopim.com (example 3rd party domains loaded when you enter the landing page from some local banks) get compromised. I guess it's less likely to happen with the bigger banks, my main bank doesn't seem to load any scripts from 3rd party as an counter-example. Still, rouge browser extensions still scare me, although I only have like three installed.