I think they just add 'Dazzle' to the name so that they can copyright the pony. Other names must be too generic or not be available to copyright so you end up with names like 'Twist-a-loo' and 'Snailsquirm'. That's just my guess, though.
The can copyright pretty much anything - we have Rarity and Spike after all. Something a little more complex as Daring Do or Mrs Cake should be just as acceptable.