Crew quarters on the Enterprise in Star Trek (2009) and Into Darkness

Something that bothers me is that, in the two alternate timeline Star Trek films, we do not see crew quarters — not even once.

Were sets for crew quarters built at any point? If not, does concept art exist?

I'm especially interested to know if the quarters were intended to be on the cozy side, as in TOS, or if they were more spacious. As we know, the Enterprise NCC-1701 in the new timeline is larger even than the Galaxy class NCC-1701-D, purportedly as a reaction to the size of Nero's ship (although I admit I take any "new timeline" facts / explanations with a grain of salt). The top-rated response to the question

How much does the Enterprise increase/vary in size between models?

features a nice graphic exhibiting the size differentials. I wonder how this affected the design of interior spaces, but in particular the crew cabins.