Considering that it's supposed to be the same ship it should have it! Same for the handhold thingies in the turbolifts, and it's so cool that the sound of the transporter still has a trace of that MUCH freakier sound effect from the TOS pilot. I like that the buttons on their consoles are brightly coloured plastic studs too, very old-school. I actually watched Arena right after this episode of SNW and even though it should bump so badly because of the vast difference in style and budget, it still feels like I'm looking at the same ship.
I've said before that I rationalise it by imagining that Kirk's Enterprise always looked like this more modern iteration
except they didn't have the money to realise it on-screen at the time - but that rationale falls apart whenever the look of TOS is explicitly reference in-universe like in TNG's Relics or ENT's mirror universe two-parter. Bah, don't care
