statues of Hindu elephant god drinking milk worldwide

yes

'''yes they can drink milk but cannot eat eggs'''

Cows.

vegetarian Hindu do eat mil and milk products because it doesn't involve killing an animal.

some Hindu, however, argue that milk is animal product and do not consume it. but that's only a small population.

non-vegetarian Hindu eat milk, meat, chicken, etc but not cow. cow is religious.

Taking milk is considered pious and was made more popular by the Lord Krishna during his avtar in Dwapar Yug. Mahatma Gandhi at one time gave up milk and its products considering it to be not strictly vegetarian but later changed his stance and agreed to accepting milk (goat's milk) and its product like curd as inescapable sin made available to mankind by the nature like mothers milk, that's why cow is referred to as Mother Cow by the Hindus. ( Cows milk is the closest to mother's milk).