I hear what you are saying, but it is not a competition. Just having kids doesn't automatically make you more "busy".
The most "busy" people I know who literally get less than 5 hours sleep a night (on a good day) due to work, voluntary work, private businesses, caring for elderly relatives, being present for friends etc etc etc have no children.
I'm afraid parents do not have the monopoly on busy. But similarly we should stop seeing "busy" as an accolade.