I was helping to take care of a baby this weekend. It was a good experience, but what really struck me was this small conversation that took place about how to look after them. I'm not joking, almost every thing they said has been said by somebody on this forum in regards to Parrots! I mentioned it, and the adults in the room didn't really care/were annoyed at me suddenly saying, "Babies are Parrots. Parrots are babies." I'm really quite amazed by this. In fact, the first thing I said to myself when I saw the child's toy box was, "I bet a bird would love to play with those!". Just like babies, sometimes Parrots make noises for absolutely no reason. And they don't stop. Is it weird that I'd rather listen to a Cockatoo scream than a child wailing because it isn't getting what it wants? I mean, they're practically the same thing! The whole thing is mind boggling. Did you know babies need a routine as well? Ha ha.
I would agree with the comparison to toddlers---babies are easier lol.
However, here are some of the distinctions---
A cockatoo can produce much more noise than a child (in terms of persistence and decibels--Think jet-engine up-close at take-off). EEK--after all, they are meant to be heard up to 5 miles away in the wild (flock calling).
Kids don't have all of the weird medical/respiratory needs/restrictions so you can take them with you without worry and use normal cleaning products without a ton of concern.
People are more willing to empathize with the lifestyle changes required by parents (not so much with parronts--there just isn't enough awareness of what a job it is).
Without the use of a tool, it is unlikely that a child could cause you to require stitches.
Toddlers can't fly (thank God).
Toddlers can eat the same foods we eat.
Toddlers don't generally self-mutilate when stressed.
Some toddlers are actually LESS intelligent than birds when it comes to visual/spatial reasoning
Finally, toddlers exit the "terrible twos", whereas parrots do not.

