⟩ Will the date taken of a Skype video snapshot appear on a photo that you imported into your photos?
As always, under Windows, the date shown is the date it was taken, in the Details View.
The only exception to this is when you make a copy to a USB Flash Drive, for example, which sometimes shows the date the file was copied, in the Details View but, right-click and view Properties to see when the original photo was taken.