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Dick Grayson's unmatched success as a child vigilante makes a lot more sense when you remember the Court of Owls was a thing and that Dick was meant to be the next Grey Son.
There is no way that someone at Haly's Circus wasn't there keeping an eye on him while he grew up. A future weapon needs to be trained and monitored after all, and a circus, a place where weird skills are completely normal, is actually a great place to secretly train a child.
You know, just some knife tricks that translated really well into actual fighting. How to get out of restraints and pick locks while under a time limit. Death defying acrobatic stunts that coincidentally do wonders for parkouring. That sort of thing. Nothing that seems out of place for a boy growing up around circus performers to learn, but would literally any where else.
I mean, while I fully believe that most kids would want to kill the man responsible for their parents deaths, Dick was weirdly prepared to go through it. He tracked down Zucco with way more ease than any normal child should have too. He became the first child vigilante, for goodness sake. The first Robin! He only started getting formal training after he basically forced Bruce into it!
Bruce himself has no idea that this kind of competency in a child is unusual, considering he was much too blinded by the similarities between his and Dick's tragic orphanhoods.
Alfred is in a similar boat because he’s desensitized to weird children after he somehow managed to successfully raise Bruce 'The Batman' Wayne, so he doesn't clock the hyper-competency as abnormal either.
By the time the other batkids start popping up (Jason 'The Audacity' Todd, borderline-street rat with no fear) (Tim 'the greatest stalker in Gotham history' Drake, child genius, also bullied his way into becoming Robin) (Barbara 'raised by the only uncorrupt cop in gotham' Gordon) (Stephanie 'daddy issues and spite' Brown) (Duke 'Pretends he's the normal one and people believe him' Thomas) it's too late.
It would also explain how Dick got along so well with Damian out of all of them. Similar childhood with different approaches and all that. On some subconscious level, Dick recognises and resonates with the murderous ten year old assassin with strong familial ties to a secret elite assassin organization.
It isn't until after the whole Court of Owls and Grey Son reveal that suddenly Dick realises a whole lot of things about his childhood that suddenly make a lot more sense.