More intuitive? If you're phased by the odd 2 or 1/2 here or there in maths, it's probably not the right discipline for you.
Far more important step for mathematicians would be to switch from base 10 to something more useful like base 8.
Far more important step for mathematicians would be to switch from base 10 to something more useful like base 8.
The point being: for children learning the basics, the odd 2 or 1/2 here and there masks the underlying relationships. But don't take my word for it-- read the manifesto.
The whole point of learning is to learn to read things and understand them. That means looking behind 'fluff' like 2, or 1/2, and understanding the concepts.
There are a lot of people who aren't kids, aren't mathematicians, but have to deal with maths all the time. In fact, our own field of Computer Science has a lot of math.
Now, I can't speak as a real mathematician (though I know more maths than most people), but I can definitely speak as a CS major - learning to use radians was never natural for me, and it is the basis of most of calculus. Had I learned it using Tau, I'm guessing it wouldn't have even been an issue. It wouldn't even be something I have to "learn". It just makes sense - one half of a circle is one half Tau.