Just my two cents worth;
We took delivery of our new 2012 BH Ti32 about one week ago, yesterday I removed all five wheels and Tow Max tires and sent them to the tire shop to be balanced while I installed the wet bolt and shackle kit. When I received the tires back the worst tire had 4.25 oz of weights and the best tire only had 0.5 oz. The wheels are all marked for 110 psi max. pressure. All my tires were manufactured between weeks 9 and 15 of 2011.
Our 2011 Cyclone had one tire that had 18 oz of weights to get it balanced, and those wheels were marked 80 psi max. Maybe the wheels and pressure differences are difference between 6k axles and 7k axles.
Not really, the axles will not have any bearing (no pun intended) on the tire except if you are having them spin balanced on the axles. 4.25 oz. is really not that much weight for a tire that heavy. You might have had a better outcome (the 18 oz. tire) if the tire shop would have rotated the tire a 180* on the rim and rebalanced. Most tire shops don't match-mount tires, which is an injustice. But in their defense, they just don't know how. Have you ever noticed a "dot", usually wax or it could be a drop of colored paint on the tire shoulder? That usually depicts the valve placement and the tire is suppose to align with the valve stem hole at that point. In most cases the Valve Stem hole is drilled at the "high side'' of the rim..now, I said most, it's best to check with the manufacture. Oh, and that wax dot on the tire is the low radial run-out of the tire..again, you must check the wheel manufacture. When I was involved with this procedure, all domestic car manufactures with the exception of Chrysler drilled the valve hole placement at the 'high side of the rim. Now I know what some might think, but I don't know of any wheel/tire that is perfectly round, hence the ''Match-Mount'' procedure...
Most tire shop (good ones) know they are to match tire markings up to the valve stem..but it has been my experience, when I ask them "why", they say that's the heavy spot on the tire"...NOT
Hope this helps...