In direct answer to your question: yes, it does, but it is only a slight difference and other things tend to be more important. All other things being equal, generally it is slightly better if the traction tire is on the outside. I experimented on this with some one-traction tire BEEPs years ago and if you set up a test track I could see the difference. But it is not a big difference and other things often aren't equal.
What matters much more is if the traction tire is on the downside of any slope across the track (i.e., on the lower side if the track is not level side to side): many model railroaders bank their curves very slightly, which tends to make the loco lean to the inside, putting more weight on that inner loop: if the traction tire is on that side with more weight on it - that matters.
This matters a lot more with 'Streets vehicles (which mostly have one traction tire only) than with locos, probably because 'Streets vehicles don't have a lot of weight to push down for traction and also because they go around curves as tight as radius = 8.5 inches. The way I lay out all my 'streets roads, and run my vehicles, they turn left much more than right, so when I assemble them I put the traction tire on the right side.
The very long depressed-center flat trailer truck I posted yesterday is one of the few examples where this matters: it has to go around eight left turn curve sections and two rights to orbit my country road loop. It has a traction tire only on the right side of the drive axle: it goes through all the left handers well, but spins its wheels on the right had curves. (This will not be a problem when done because it will have an extra 4 oz of weight over the drive axle for additional traction.)