Ok, it's a Monday for me today, I'm not understanding this.
You have a smoother ride now but what was the issue before re-doing the axle sequence?
Over a year ago I installed a Metzeler front tire, and at 40-psi, my front signal light bulbs fell out of their sockets. I attributed this to a bumpy stretch of freeway that I commute over on a regular basis in conjunction with possible fatigue in the stock front springs, etc. I deflated the front tire to 38-psi, however, the overall ride was still stiffer. Perhaps breaking in the new tire was all it took but after logging a thousand miles the stiffness was still there. Since then, to relieve any possible binding in the axle/fork, I had reset the front axle 4 times, but solely by loosening the right side pinch bolts and bouncing the forks up and down. All to no avail. After a while, I surmised the stiffer ride was due to the handling characteristics of Metzeler over the Bridgestones, my previous front tire brand. Last week, on a 5th attempt to re-set my front axle, on a whim, I not only loosened the right pinch bolts, but took the extra steps to loosen the axle-bolt and left pinch bolts as well, torquing them down in proper sequence, only then bouncing the forks up and down, and lastly torquing down the right pinch bolts in the conventional order. The sequence might seem subtle but it paid dividends in a smoother ride. You'll have to take my word on this.
By "smoother," I mean the bike tracks noticeably straighter. And since the bike tracks straighter, the bike tacks less left-to-right, right-to-left, exerting pressure less frequently on the corresponding side's fork producing a smoother ride. It gives the sensation of a flatter ride in contrast to a "plusher" ride. But a straighter ride yields the same smoother effect. The improvement is more pronounced at slower speeds at city riding, while always an added bonus when rolling off the throttle to decelerate behind slowing traffic or accelerating gradually from a stop. You can feel the gyroscopic effect of the spinning wheel kick in and hold. It's smooth enough to read the morning newspaper if I liked. Tomorrow, I weld the entire assembly permanently together.