I think @LadyMarissa ‘s judgement is good. Sounds like the Doberman was big enough and the child light enough.
But dogs aren’t beasts of burden. Horses have been bred to do this for thousands of years. Dogs have been our hunting partners, but not bred for this purpose.
A Doberman or Great Dane saddled might be cute, if used by people with good judgement. But most people would injure their dogs’ backs with these, Suppose ten year old boys decided they would try to do what the 30 month old child did.