I don't believe it is wise to build any more tension into the top than you need to. I think you are right when you say you gain some stiffness like that. The problem is you may voice the top to that stiffness and with time the top settles into its new position and you loose the tension and your top deadens.
This is also why I don't use the top and back to hold the sides in position.
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Mark Hatcher
www.hatcherguitars.com
“"A conclusion is the place where you got tired of thinking".
Steven Wright
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