You can just measure performance of those things then.
Chrome on Android reports your phone model and build number. If you're using a lessor known phone with a carrier specific ROM, then you're in a really tiny population.
WebRTC is another one which you can disable. JavaScript, in general, as well, requiring uMatrix.
Chrome leaks the extensions you use, Firefox does not (AFAIK). As for blocking canvas, see [1]
To test your fingerprinting I can recommend IPleak [2]
The problem of this all is, its a usability nightmare.
[1] https://addons.mozilla.org/en-US/android/addon/canvasblocker...
Sure... "leak", wink wink.
If you use a common device and browser kept up to date to the latest versions, then you are not going to be unique. Using Safari on an iPhone will make you similar to 30% of web traffic.
Browsers also update all the time changing the user agent so it isn't that reliable tracking over extended periods of time.
The am I unique websites seem to compare your user agent to a database with outdated browser versions from the past data, making your score look much scarier than it really is. If you keep things up to date, chances are that you are not that unique.