My sister has a small amount of Vitiligo, it can be caused by hormonal imbalances (she's a teen and it's going away with age), I'm actually thinking that's more what's going on with the BPs. I tend to hear about spiders losing color much more often than any other bp. I'm thinking it's hormonal because they do eventually regain their color. It wouldn't be like the horse hair color change because Lipizzaners, what you're talking about, never go back to brown-black. They are born with brown-black hair and fade to white (almost always). It can take 4-10 years for them to change completely. Some gray/white Andalusians (also horses) are similar. It's a permanent color change for both breeds though, they don't revert back to their original color.
To the OP, I wouldn't worry about it, and I'm not surprised at all that it's a spider! It may take a long time, but eventually the color will come back. Someone had an amazing spider! I lost all it's pigment so it looked like an axanthic killerbee! It was pretty sweet! I've seen a few normals on here that lost their color too, but also gained it back eventually.