I noticed something about the design of Mudd's confiscated ship from Into Darkness...
Here's the profile of the ship from the original version of TOS:
And here's the ship's concept art (it was the only profile I could find):
It's the same profile!!!
Unfortunately, they redesigned the ship for Star Trek: Remastered, into this (kinda lame, toyish looking, imo) design:
I'm guessing that the designer of the ship for STID might have based it on the TOS profile of Mudd's "Aurora" Class J Cargo Ship. Which means that STID ignored ST:R, and uncannonized it in this instance, lol. And people say that Abrams doesn't respect TOS canon!