Boy do I love tire threads. Everyone has an opinion and some of those are just flat wrong.
First, no one has mentioned "uniformity". (Think "out of round" and you won't be far off the mark.)
You can have a non-uniform (out of round) assembly that is perfectly balanced - and it will vibrate.
And just so everyone understands - nothing is perfectly round. It is especially difficult to manufacture "round" tires, because they are formed in molds that get heated and cooled, which warps the mold. What is of issue is what tolerance is acceptable - and every tire manufacturer has slightly different take on this.
There is a machine - Hunter GSP9700 - which can measure the amount of non-uniformity. They call this value "Road Force" to distinguish it from other methods of measuring non-uniformity. Personally, I think every tire shop should be using these. It takes only a slight bit more time, but it can help eliminate the very thing that this thread is about - bounce back.
But there are things besides tires that can cause non-uniformity - and non-concentric tire mounting is one of them.
Contrary to popular opinion, tires sometimes only partially seat on the wheel. I've seen Road Force values drop in half by lubing the rim during the mounting process - and I would recommend everyone who mounts tires do that. Yes, I know it takes extra time, but the results. show a noticeable improvement.
- AND -
Non-concentric tire mounting can throw the balance off, so when the tire fully seats, it needs re-balancing.
There is also the issue of inflating the tire to 40 psi before setting the tire to the usage pressure.
And I am not a fan of paste mounting lube. I think liquid lubes are more likely to get to where there is potential sticking spots.
And lastly: My experience is that vehicles are generally insensitive to balance values up to 1/4 oz (5 grams). You have to get up to 1/2 oz (10 grams) before MOST vehicles "feel" the imbalance. That's why tire balancers use 1/4 oz (5 grams) as the tolerance and why the weights come in those increments.
Spending extra time to try to improve the balance tighter than 1/4 oz (5 grams) is largely a waste of time.
I just returned from Houston where this problem was the subject - and interestingly, my counter-parts at Michelin shared my opinions as expressed above.