I do the same with a small credit card thingy I carry in shirt pocket so I'm not reaching where he can't see.
The time I got pulled over for niece wearing seat belt improperly ... by the time officer got to my window, my car was off, keys and card holder(wallet) were on dash, window down,...license, CHL and Insurance in my hand, hands on wheel.
He never asked to see CHL/License/Insurance ... no ticket/verbal warning to niece on how to wear it properly and lots of smiles.
Had it been dark, dome light would have been on too.
My hands never go below window level. (in shirt pocket)