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If there truly a part of the tire that is heavier than the rest, then, obviously, the tire is not balanced.
Having the tire balanced, which is done by adding counter weights in the correct location, would offset any affect of a heavy spot in the tire, by design. Also, if the tire is balanced correctly, why would you need to roll it around to this magic point? You can't possibly blow the tire off the wheel. So, what's so strange about N that requires the tire to be filled in the HEAVY spot?
More importantly, as I've said before, a properly installed sprocket shouldn't change anything about the bike except the gearing. Since installing the sprocket requires loosening the rear axle nuts, it would make sense to check for proper rear wheel alignment. A misaligned rear tire would also lead some bouncy feelings.
Trying to fix a problem caused by improper installation by putting different air in the tires is like putting your pants on backwards and buying new shoes to correct the funny feeling.
-Jonathan
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