The two sides don't look quite the same when you (or at least when I) knit brioche in the round. The knit columns on the inside are more pronounced, but both sides look good.
Once I had cast off I couldn't resist casting on to make a similar cowl but with a different yarn from my stash, a single skein of gorgeous greenish blue. Isn't it fascinating how differently yarns respond to techniques? Brioche in the round is obviously not the right technique for this yarn - unless you want a distorted cowl.
Well, it could actually look nice with the spiralling effect - but it simply wouldn't work with the raglan shape, so I have to think of something else...
The camel wool reminds me of a happy Christmas a few years ago: