Here, the white oak falls well before the true red oak's in most years. When they are present. So, you will always find them on the White's first concerning oaks. I'm not sure how they'd prefer them if both were laying there. Rarely happens here. And, theory may say one thing but, I have yet to see deer prefer white oak over red's when both are on the ground. Doubt it is any different with bear. What ever tastes best at the time is getting eat.
However, if they have access to soft mast like poke berries, cherry, apples, or wild grapes, acorns get second place until it is gone or dried up. As far as hard mast, beech is king for bears here.