Also, on the flipside - sometimes you will find a rare budgie that just PREFERS to be more of a "bird's bird" rather than a handleable pet. There was also a post not long ago between Timothy and I, and he mentioned he hand fed budgies, and nonetheless, one just always preferred to not be handled. Just like my Twigs.
Twigs and his late friend Pix were purchased at the same time. With consistent handling, Pix became hand tame over a period of months. Twigs remained wildish despite the same "upbringing" and environment. Even after they were in separate cages. The two personalities we're markedly different from the beginning.
Now, Pix has passed on, and Twigs lives in the room with the parrots. He had been persistent with the parrots for weeks - asking them to please be his friend and accept him into the "guys club" lol. They're not his best friend, but they have for the most part accepted the little guy being on the cage and toys and siting with them. I can tell that Twigs really enjoys his time out at Raven's cage and at the playground and just being around the bigger birds pretending he's one of them.
Anyway, my point - Twigs is TAME. He will hop on my finger to come out of his cage. He knows the command "in" to fly back into his cage. He looks and listens to me when I talk with him with his expressions and body language just like any bird does when it's tame. It's just that he CHOOSES not to bond to a human. He clearly prefers the company of other birds.
I still love Twigs, and he's a wonderful little pet regardless of whether he and I are bonded. I believe he's a happy bird, and I respect HIS decision about it and don't force myself upon him. He's happy and that's what matters. He's adorable, entertaining, and he's funny to watch. Just a viewpoint to remember
Also, as others have said, if he will eventually tame, it does take a considerable amount of time even for a Budgie which is a species known to tame rather quickly.