I've had three.
My first tiel was hand raised from day one. The breeder actually incubated the eggs and fed them herself right from the start! I think that's a bit risky and probably unnecessary, though. I believe I've heard that letting the parents raise them for the first 2 weeks or so results in plumper, healthier babies.
But she was a perfect bird, so relaxed, sweet, and chill about being handled.
My GCC was hand raised as well, and quite tame when I got him. He's far less "sweet", but super interactive and bold with people, which is great.
And my new tiel is a mystery. I don't really know if she was handfed, though I suspect she was based on how tame she is. She's still settling in so it's hard to see for sure what she's like overall, but she too is very social, unafraid of new people, and good with handling.
I have heard arguments that parent-raised birds are better adjusted and more confident. I don't have enough experience with that to know. There was a wild-caught Amazon I used to work with. He was over 60 years old. He wasn't flighty, but biting was a game to him and he'd let you scratch his head, but couldn't be picked up without a stick and would often lure you in for a scratch so he could try to get you. I loved that guy! He was awesome, but not a super tame pet or anything. Can't blame him, after the life he had, though.