Any user's decision for a browser is pretty much made already. There's no "browser war" to be had. That's a good thing: in the past it was like that because IE had terrible rendering issues, bad usability and common security issues. These days the overall browser landscape is less black and white, and for web developers it matters less which client the user is running.
Basically I see the choice of browser like this:
- If you're clueless about IT, uninfluenced by peers and just need to run something, you most likely will run IE11 or Edge (Windows) or Safari (iOS / MacOS). Either will probably do what you need. Web developers don't really care which it is; both render stuff quite fine.
- In the enterprise environment, legacy compatibility steps into play. Occasionally that means IE9 for legacy and company-endorsed alternative for everything else. Alternative tends to mean Firefox because enterprise tends to avoid being in another company's pocket unless they really really really have to (Microsoft, IBM, etc).
- Those who care at home, will probably give up Edge within 1-2 days because it's missing essential features like ad-blocking and UI nice-to-haves like getting to choose your download location.
- The alternative browser choice probably ends up being Chrome if the user doesn't care about privacy stuff and Firefox if they do care. Otherwise the browsers are quite comparable.
As a part-time web developer I'm happy that IE9 is almost dead; everything else is relatively inconsequential in comparison. From my personal perspective I'd like Edge to be just slightly more competitive. Firefox is getting worse all the time (bad performance, terrible reliability, increasing bloat, breaking of old features like Firefox Sync). Google is too spooky for me to switch to Chrome. Edge would be very interesting if it was just a little bit better.