Maybe if everything you use is a web-app that makes sense, but I avoid that like the plague. Maybe in the wonderful world of Silicon Valley you can rely on that, but in the real world internet connectivity can be choppy, especially when inside trains and planes.
Most startup workplaces these days use a lot of SaaS apps. Not like you have a choice to avoid web apps.
Nowadays many applications, and especially most big-name business application suites (G Suite, Microsoft Office online, etc), are converting all their web applications to Progressive Web Apps, adding Service Workers and such so that they work just fine when you're offline and sync to backup document changes and such whenever you reconnect later. Give it a couple years and it won't be a problem anymore.
Are these publicly-available sites, or private web apps?
I can't remember seeing sites that break Safari, but I'm sure I'm just lucky.