The problem with braid is that not many dyes will adhere to ployethelene for very long due to its non-absorbing properties and all dyes are just a top coat as raw polyethelene is white.
I've not long loaded my jig reels with Sufix Herculine and YGK Jigman X and whilst spooling up I had dye on my hands from handling the stuff as well as the guides having a coating of dye build up as the line ran through the dry runners and these are silicon runners, though whilst fishing it was minimal. I have also had the problem with Berkley Fireline, Spiderwire and a couple of others.
So mate, I wouldn't get too worked up about it and it doesn't matter what you pay for it it will happen to the best of them, just as long as it doesn't loose its breaking strength, which I haven't found anyway.
Cheers,
Ian