I am not in favour of never letting them out of my sight because it is important they develop autonomy and be able to look after themselves. Seeing them growing and learning is one of the joys of being a parent.
The point is being involved, which is good for children and rewarding for parents.
There is some big logical fallacy going on here... there is a very, very vast space in between, as you are implying, staying 24/7 with your children and letting someone else raise your children for you (grandparents, nanny or whatever).