Good idea to polish the tube, but you may want to use something other than steel wool as the abrasive. Steel wool will imbed itself in many metals and rust even if used on a non rusting surface (like aluminum). I polished some aluminum, stainless steel and titanium parts on my dirt bike using steel wool and all showed rust within six months.
Using a high #automotive sandpaper (1000-2000) in sequence will give good results, followed by Flitz or Semichrome polish. Also dry teflon will reduce friction and not attract dirt or grit.