Not really. A lot of people don't know that Ariel (and apparently Pete) have children. This person could easily mean either classic or the sensational six.
I'm saying that by saying classic, the Sensational Six is implied. Just because Ariel was around when you were young, doesn't make her classic. By that logic, we could say Kanga from Winnie the Pooh falls into that category and she most certainly does not.
I CAN ONLY FUCKING IMAGINE GOOFY'S HORNY FACE