I just corrected the same issue on my GXV140 . . .had done that for years, but then started a thin constant haze.Tore it down and did a light hone (negligible cylinder wear) and rings, and like new again. There are three factors in play here: 1) Wear 2) Honda used a 1 piece cast iron oil ring in early engines that just didn't work or hold up that well, and has replaced with a 3 piece set. 3) On mine, all 3 rings had rotated to have the gap at the bottom, so oil could get into the cylinder at rest. This was a head scratcher for me, since the longer it sat unused, the more smoke at start . . .
If you do go in, plan rings, upper snd lower oil seal, and a few gaskets . . . a couple hours and not much $$$ at all.