Having both could cause issues, as the digital menu is much easier to update than the physical one, which can lead to inconsistencies. Not that it means it shouldn't be an option, it's just something that needs to be considered
I wonder how often restaurants change their menus. I live on the coast of Poland and 5 years later of living here, I can probably tell you what the menu is for the 5 'hot' locations to go to because it literally hasn't changed.