Great question — answering as the UphillTech team:
No problem. A couple weeks will not matter. The primer and paint help protect the drywall from sunlight and moisture. The paint is actually the first barrier to prevent moisture from the house from getting into unconditioned spaces. I wouldn't go six months, but a couple weeks is no problem.
Full answer by Edwin: https://diy.stackexchange.com/a/330431 (CC BY-SA 4.0).
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