They will fly into a black hole for the fun of it. While screaming expletives.
That’s the trade-off. We can go to the stars with insane cockatoos who manipulate space-time and sometimes kill everyone for kicks, or we can stay grounded forever.
They absolutely would. They are agents of chaos.
This sounds like a good idea for a cartoon to be honest.
Even better cockatoo action: when they decide to be a dog and run around barking
Cockatoo navigator: Hey, that's a neat-looking planet we just passed, let's dismantle it for fun.