To answer the question above, yes, the boxes open with the cover closed.
I've never liked the ram box. Not crazy about the lines down the side of the bed that makes it look like a glove box and since I use all my trucks as trucks, bed space is very important to me.
With that said, I went to the Dealer and the only had 1 Rebel and it had the ram box. I was ready to order a truck without the ram box but they discounted the heck out of the truck. Basically the deal was too good to pass and I purchased my very first truck with a ram box.
I've had the truck 2 days and have already organized the ram boxes. The back floor of my previous trucks floor and all my door pockets were filled. The inside of my truck is clean now and doesn't look like a catch all for everything. Still getting use to that "glove box look", but I have to admit they are very useful. Overall I'm shocked that I was never a really big fan and how handy they really are. I don't think I will regret purchasing a truck with a ram box.