In a properly serviced watch, hand winding the movement is not a problem. It does not have to be done particularly carefully or slowly - these watches are designed to be wound using the crown after all, and don't have to be treated with kid gloves. Certainly excessive hand winding can cause additional wear, and is worse for some watches than for others, but honestly the issue is being overblown here a bit IMO.
You say that the watch can't currently be wound using the crown, right? If that is the case, there is a fault - an automatic watch with a slipping bridle mainspring will never come to a stop like a manual wind watch would, so rather than indicating it is fully wound, it sounds to me that there is some problem with this watch. Depending on how you are shaking the watch to get it started, I would have more concerns about that than the manual winding...
Cheers, Al
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