Indeed it did. That's what the next room over part meant. Pinky and the Brain made a similar joke, albeit less subtly. When Brain said he wanted to clone another child (or something) Pinky replied with "not tonight Brain, I have a headache!"
Anyway, Seems like the Flintstones is a special case. It was meant for Adults (as was Bullwinkle at the time), but it had a huge kiddy following as the years went on (and I'm still confused about Ciggy adverts... when exactly did the government ban them again?). years later, it would be reran on Saturday mornings, and soon local syndicated kid's blocks. The cereal and Vitamins came in the 70's, when they where exclusively marketed towards kids.
As I said earlier, same thing with the Simpsons. While during the 90's when it premired, the episodes were very adult, we had kids toys, Butterfinger ads, Acclaim video games, and little kid's t-shirts (I think I had one of the first Homer shirts in existance). But in recent years, the episodes have shifted to younger demographics, while still having the adult edge. This Sunday's Sid Vicious bit would fit perfectly as a kid's syndicated package, due to the toned down style of the subject matter. I always pictured in the future that the Simpsons would be in kid's syndication or something.