I'd have to disagree with you too! :)
When you're putting the second tirebead over the rim the position of the opposite (first) tire bead has no effect. Actually, if the whole tire is at an angle so that the bead sits 'inside the rim' then the bottom of second bead is further away from the rim-wall you're trying to push it over, making it even more difficult. AND, if the first bead is 'inside the rim' then the tube is probably wayyy to close to the rim-wall you're stretching the tire over and you're running more of a risk of pinch flatting the tube.
In regards to your note 'when trying to get the last section of the tire on', I suggest you read the Michelin guide linked above. If you do the valve stem area last the problem takes care of itself.
If you just want to spend money on velo-plugs or rim-tape that's cool too, I think that velox looks ugly anyways.
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