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My father used to work in a manufacturing plant where they would weigh the trucks coming in and out. The scales had to be in a fully enclosed garage or any breeze would throw the reading completely off.

I have a hunch that this same issue might be even more of a problem for an airplane.

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I don’t think the plane needs a high level precision for the weight. I’m sure it could be off by a couple thousand pounds without any issue, and winds wouldn’t affect the weight that much.

a 130kt (~the stall speed) wind over the wings would pretty much remove the entire weight of the aircraft. Okay, lift is proportional to the square of the airspeed, but it's still going to be a huge factor and make it really unreliable

I'd be even more concerned with crosswinds indicating uneven loading length-wise!

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