I went with the 34
No, the 34 is no more ("mechanically") accurate than a 17. However, the extra sight radius can help you shoot it more accurately, especially at longer distances. Then again, shooting quickly at 10-12 yards and under, some (me) actually do better with a shorter sight radius. Seems like I can line up the sight picture much more quickly when the sights are a little closer together.
However, if you like the extended controls, the 3.5# connector, and it's not for carry (although yes, it CAN be carried), you'll love the 34. Funny thing is what I like about the 34 over the 17 the most is that it has the "new" contoured slide like the subcompacts and GAP GLOCKS. IMO for what you get over the 17, the price is kind of high though: a) the controls and nicer trigger can be added to a 17 for cheap, so you're paying alot for extra sight radius; and b) in no other "step" from model to model (in the same caliber) do you pay more for longer SR (ie price for 26 = 19 = 17, and there is a bigger difference in 26 to 17 SR than there is from 17 to 34)... anyways, for the money I think you'd ultimately be just as happy w/a 17.
As for accuracy, I think you'd find as much difference in say individual 17's to 17's or 34's to 34's as you would a difference from 17 to 34's across the board, if from a rest (inherent mechanical accuracy) imo, ymmv.