Plant milk doesn't normally have the same level of fullness (in technical terms, it doesn't have such a pronounced body), and also introduces alternate taste, so it's not good for everything, unfortunately.
Some of the oat milk does have a more pronounced body in my experience, but such oat milk normally has intense oatmeal taste. Coconut milk is on the other extreme, it is commonly very empty, but also introduces little taste of its own.
Plant milk doesn't normally have the same level of fullness (in technical terms, it doesn't have such a pronounced body), and also introduces alternate taste, so it's not good for everything, unfortunately.
Some of the oat milk does have a more pronounced body in my experience, but such oat milk normally has intense oatmeal taste. Coconut milk is on the other extreme, it is commonly very empty, but also introduces little taste of its own.