As suggested above, A trucker with a second lighter set of wheels and tires, and maybe upgraded bits like seatpost and handlebar/stem, would bring the weight down a few lbs, close to the All City, but with the same robust and tough-as-nails frame, if you need that for carrying a heavy touring load.
If you already own all the ultra-lightweight camping gear you would need to tour, then maybe a lighter bike frame would be fine.
In the end, the answer is 'no', it won't make much of a difference unless you plan to do fast or competitive group rides in hilly areas. On flat terrain the weight makes practically zero difference.