"One tire took 1 ounce and the other 0 to balance them on road force balancer."
DOWN HOME, I'll try not to take to long to explain take on balancing.
I use only Michelins and haven't had one balanced in many years. IMHO, if you have a tire balanced immediately after it's mounted, in many cases you are balancing to a "false" situation, i.e., tire bead has not seated permanently to rim, tire has shipping distortions (pass.), or other situations. If you balance immediately, they can be out of balance within a few hundred miles when all distortion has been worked out and beads are permanently seated.
For years my procedure has been to ask service person to make sure the wheels are clean, use good, fresh mounting lubricant, mount and inflate to max. PSI shown on sidewall of tire. Then I drive them few hundred miles, lower to normal operating pressure and forget about them.
It's my opinion if a Michelin requires weight after this procedure, it normally means the WHEEL, not the tire, is out of balance. That is not the case very often, but I have seen it.
"In the tire industry 40 years; seen it all and done most of it"