I Agree with Warped9 ... They're barely visible on the "pre-restoration" 11 footer (Hence, the debates that have lasted so very long) and would be nonexistent at the 1:1000 scale. It's like adding a scale pimple on the cheek of a 1:350 scale figure. You would have to hand out a complimentary magnifying glass to everyone that comes over to see your model.
But on the other hand, Rogue1's Connie and John P's ships look great! ... along with all the other modelers that have chosen to add the grid lines.
I guess we've been conditioned over the years with all of the blueprints, diagrams and AMT/Ertl models to see those grid lines, and now, when we see a TOS era ship without them, something in our psyche says that there's something missing.
Trek Ace said it best ... Go lightly ... VERY lightly! They are meant to be very very subtle at the 11 footer's scale (whatever that is).
Good luck on your project, petrov26!
I'm gonna go run for cover ... now that I realize that I've opened at least two of the proverbial "pandora's boxes" of Star Trek Modeling.