Without door surrounds, the soft uppers will flop and flutter around more than they will with the surrounds. And the horizontal portion of the surround is what the soft top attaches to.
The vertical section of the surrounds can be separated and removed to give the top something to secure to.
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Ok, good. That helps. Now to finding more door surrounds. I found some several months ago for @Alex01 for $50 and shipped one or both sides off after he destroyed one of his, I think on Fordyce.