I would say that even just aiming at perfect estimates is a sign that mastery has not been achieved yet.

Wisdom is to acknowledge uncertainty and that estimates are uncertain in nature because the information available at the time is always incomplete.

That's only if the challenge is completely new. Sure, if you're researching something novel in an area you've not worked on, the information you have is likely very far from complete. But if you're writing a backend server for a new POC for the umpteenth time in your career, you're likely to be able to do it fast, well, and be able to estimate how long it's gonna take. The reason being that the unknowns are slim to none.

Yes, but there are also situations that demand certainty and accuracy in estimates. One must appease them by looking as though you are trying.