Correct. When it comes to children, as long as you have an executive membership you can bring all of them in that are flying. Doesn't matter if you have two or five. Just that they're your children and are under 18. Have a cousin with 6 children and he frequently brings them all into club plus wife with his executive SC membership. He's never been challenged before. Only problem can run into is if the club is near occupancy limits. Then they may deny access.

Not sure how it works with other methods of access such as Elite+ or premium cabin international flight. Only know with executive membership.