When I was younger and didn't mind the occasional fight, I used to win money in bars on the dimple question. It took finding an aero professor to arbitrate and beer glasses sometimes flew settling the question, but geeks have to have their fun.
When a golf ball is struck by a driver at a low angle, high velocity, and low spin rate, it pretty much goes straight whether it has dimples or not. The rotation of the ball drags the boundary layer along with it, more so if the ball is dimpled. Now, the thicker boundary layer of the dimpled ball causes more drag than the thinner boundary layer of a smooth ball. But as the dimpled ball slows down relative to its backspin rate, the thick, rotating boundary layer creates lift. This lift causes the ball's flight path to rise and carries it farther than it would without spin and without dimples. This is why even a driver has some angle to it.
Higher angle clubs create more spin rate vs. velocity and so the ball gets a greater percentage of its vertical trajectory from spin for the higher numbered clubs. All of these effects are dependent on velocity and air density. On the moon, dimples make no difference.
So the dimples create more drag, not less; and this makes the ball go farther. Take some Tylenol.