Alcohol drinkers, is it normal for it to leave a white or yellow coating on the tongue by the next morning?

Hard alcohol intake over a chronic period might leave stains.If it's asymptomatic,then it's fine.However it might rarely reflect an underlying liver pathology.So better get a consult and reduce the quantity of intake.

No, it isn’t normal.
That’s probably due to an overgrowth of bacteria rather than from drinking.