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No. That would not help very much. That's kindof what a mathmatician would seriously contemplate. Instead of simply turning himself by 90 degrees, he could actually come up with the idea to turn the entire universe (or at least the planet) by 90 degrees in the opposite direction instead. Mathmatically ok, but somewhat impractical.
The plastic contracts while it cools down, so it starts pulling at the layer beneath it. The weaker the lower layers are and the longer the new layer is, the stronger that force will be and the more warping you will have. All you have to do is to rotate the object in a way to reduce these effects.
Let's say you want to print a large cube. If it's big enough and you lay it flat on one side, you may get warping at the corners. First layers to be printed will be very thin squares. Try it and pull it off the bed after only printing the first layer. This thin thing has no strength at all and the only thing that keeps it from warping is the adhesion to the bed. The second layer will contract and may pull the corners of the first layer off the bed, resulting in warping.
Why not print the cube balancing on one corner instead? Of course you now need supports and it will take longer to print, but warping will probably not occur at all. If you look at the horizontal cross sections, you will see that the first layers of the balancing cube are so tiny that warping is not an issue. The cross sections only gradually get bigger and by the time that they get wide enough for warping, there are enough layers underneath that can easily resist the pull from a new layer.
I have lived with several Zen masters - all of them were cats.
His last invention was an evil Lasagna. It didn't kill anyone, and it actually tasted pretty good.