I find it pretentious and silly that the mom and kid are using this for publicity (or more likely that the mom is using this plus using her unable-to-protest kid for publicity).
As far as the rules, it's not rude for parents to set parameters for their kids! But it does befuddle me that they'd set the 7:30 cutoff for a teen, and I really hate her framing encouragement to play word games and listen to new music as "rules." Those aren't rules, they're dictates of taste. If you want your kid to listen to hip or unusual music, you play it when he's in the room or something; you don't tell him, "You can't listen to 'Gangnam Style,' 'Call Me Maybe' and never look up any new music" unless you want him to rebel by doing exactly that.
I also hate that she assumes he's going to mess up or break the phone or her rules. It's so disrespectful to set out with the assumption that your child is no good, and it doesn't inspire him to be BETTER.