Do plants have to hang upside down during drying?

I have a nice cardboard box I can put my relatively short autoflowers in for drying (I've cut holes on box walls and intend to keep it in an air-conditioned room) but it would be much easier for me to simply stand the plants up and lean them against the inner walls.

Would there be a difference in the final product if I don't hang them upside down?

I suspect the juices from the plant tend to go "down" due to gravity, so I wonder if this method would dry the plant too quick, would the taste change, etc.
 
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