I feel like it's a bit of an odd metric? It's like saying whether people want to use File Explorer. There's alternatives, but it doesn't enter the calculus of a lot of people.
It's not "do you want Edge on your phone", it's "do you want your desktop browser on your mobile" for a decent set of people, I think.
This article is from last year, but at the time Chrome had approximately 60% and Firefox at approximately 15% of the market[0]. It's not like people don't know that other browsers exist. Even non-technically savvy people know about Chrome. I'm sure a lot of that share comes from Android, but a large number of people go out of their way to install it on their desktops.
Sure,there are some people who will never consider installing another browser, but do you honestly believe that those people will go out of their way to install Edge on their phone over Android or Safari which are installed by default? I will concede that the app store does make it easier for someone to install a third party browsers, but how many of those people are going to know that Edge for mobile exist or go out of their way to install it?
If they are happy enough with Edge because it is the default on Windows, they'll most likely be happy enough with Chrome or Safari on their mobile. Yes, people who elect to use Edge because they like it and not because it is the default may choose to use it on mobile, but I can't imagine that number is very high.
I do not have data to prove this, but do you honestly believe that the number of people who can name a File Explorer alternative is anywhere close to the number of people that can name multiple web browsers? I find that incredibly hard to believe and a poor comparison.