Do you think a parent should respect their child's decision to become vegetarian if the parents are not?

Let's say the parents are in a position where they can afford to provide vegetarian meals for their child.

If the child expresses that they would like to become vegetarian, whether that be for their health or their morals, should the parents respect that decision?

Do you think the age of the child matters?

What about the other way around, should a vegetarian parent respect their child wanting to eat meat? (Let's say they offered to cook it themselves)