As Shizz said… later you need shards to reroll secondary stats, they are very valuable. I destroy nothing, all things I got a stack already I sell to the vendor, some of the more rare dyes are still selling well in the AH; the “garbage” is adding up with time.
I am going for all overworld transmogs also, trying to get complete collections in my transmog chest, gold, silver etc. and make it a sport to check for my missing in every chest. I enjoy the sorting and selling, actually, I like these chests very much; after a saturday morning of events I open them all, gladly, and see what I all got, yea the clicking can be reduced, why not, but the content is fine.
Especially I like the overlevel ones which got useful potions in it, now and then (could be more balanced tho, nobody needs 100s potions of forgetfulness…).
PS: ‘open all’ should be thoroughly implemented, so rare overworld drops and other chests which are sellable in the AH are excluded…