I doubt it. The fact that you won something you can't use for your spec doesn't necessarily mean you should be given something you can use. Customer Support would have to decide which spec-appropriate loot from the boss to give you, which doesn't seem like a fair compromise.I understand that getting an item you're not supposed to be getting isn't fair either, but there isn't a very good solution I can think of to compensate for this on an individual basis. Either way, I don't decide CS policies and will let them to speak to that. You could inquire on the CS forum and reference this thread to see if they can provide any insight.
Has the dev team ever thought about putting a buff on the loot coins, that would work like:
Each time you use a loot coin and get gold, you gain a buff that increases your chance to get gear by X%
While i dont really have an issue with anything, it can be really disheartening when you wunna try progress your characters gear and it takes a really long time to get anything that you would want to use
(ive used 4 loot coins this week, and have yet to do sha, or the 1st half of MSV lfr - and all i got so far was gold - granted i got a helm in the heart of fear LFR - but it was totally useless for my spec, great for transmog though :P)
Again, i dont really have any problems with this, but it can be disheartening to others