As has been said, such things tend to be too ephemeral to last more than a very short time, and so can hardly be considered to be in themselves traditional, though the process that forms them certainly is. How many people now, I wonder, remember the slogan

You'll wonder where the yellow went
When you brush your teeth with Pepsodent

Which, in the mid 1960s, became (where I was living)

You'll wonder where your teeth have gone
When you brush your teeth with an atom bomb.

Long gone and forgotten, I daresay.

Iona and Peter Opie (The Lore and Language of Schoolchildren, Oxford University Press, 1959) examined children's parodies of advertising jingles and the like in some detail. It's still the standard work on the subject.