I doubt that the STID production crew took the idea from the comic, probably, as stated, quite the opposite. Comics used production art or footage from the film as a base.
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!
The guys from CBS digital responsible for TOS:R look like they have done a 1:1 scale kitbash to give it that pirate/functional look with that TOS vibe. I liked it when I saw the ep.
However, it looks like Richard Bransons SpaceShipOne has had a love child with the Galieo shuttle.
"Course your not,your not scared of anything. Box falls out the sky, man falls out of box, man eats fish custard. Look at you, just sittin' there,you know what i think? Must be helluva scary crack in your wall" - The Doctor