It's an interesting thought exercise to take a character like Eggman and create context or justification for why he's the way he is. Sonic Team did just that through the character and game's development, painting a person strongly convinced of their own justice in transforming the world, him and Sonic being the same in the way that they have their own etc etc. I find that conviction, delusion, warped perspective (?) more interesting than 'bad family = bad' but it's mostly an oversaturation bias towards a writing trope that I feel is done on autopilot more often than not; a trope made to pigeonhole people and rob them of initiative, rob them of the capacity to take lessons from elsewhere in life, or just make choices regardless of/in spite of what life and family bring along.
And to some degree I'm just also partial to my version, where the Robotnik family is paid hush money over the accident at the ARK and Gerald's subsequent execution, which leads a young Ivo Robotnik into becoming a spoiled, entitled brat who refuses to take "No" for an answer.
Like, part of what that "His History Revealed" video ignores is it never mentions that anyone knew Gerald was missing. Eggman finds Maria's name in the declassified document, but it kind of sweeps Gerald's disappearance and execution under the rug. If Eggman truly idolized Gerald, why wasn't that a bigger deal? Why is it Maria's death that seems to be a bigger force driving him towards radicalization? Was I just not paying close enough attention and missed something?
And like... a lot of people like to make Eggman into this big scary monster. But he's more bumbling than that. And more willing to be a good guy when circumstances call for it.
It's like... The Joker, right. Everybody wants to make The Joker into this mastermind serial killer because he has to be able to keep up with Batman, who is painted to be a human being at peak performance. Batman is the smartest man to ever live, with the most resources, AND he's a super ripped body builder that could punch a hole through your chest. So he needs a rival that can match him on a lot of that, otherwise it's "too easy" for Batman.
But being a scary mastermind serial killer takes a lot of the fun out of a guy historically named The Joker.
And I'd argue it's even worse with Sonic, because some people grew up with an evil scary dictator version of Robotnik. I like that version, I wish they could bring him back some how, but even as a kid I always internalized that as a different version of the character. The guy in the games was not the same guy from the TV show. It's the old Robotnik vs. Eggman argument again.
I like an Eggman that is more selfish than he is evil. Maybe that selfishness leads him to do things others perceive as evil, and maybe if the dominoes fall in the wrong direction, the fallout could be construed as an evil act, but Eggman's desires themselves are not evil. He wants to defeat Sonic because Sonic frustrates him. He wants the Chaos Emeralds to help him establish control over the world, because he feels like he knows better than everyone else on the planet and the powers that be tried to stop him from going too far. Except Eggman refuses to acknowledge anything he could do would ever be "too far." He believes, foolishly or otherwise, that everything he does will go perfectly.
Or, to put it another way, I always envision Sonic as someone who is so fast he knows it makes him invincible. There is no problem he cannot run circles around.
I think Eggman is the same way, except Eggman is so smart he knows thinks it makes him invincible. He believes that if there is any kind of unexpected problem he will instantly devise the solution and that there is nothing he can't build, invent, or reason his way around. He is the smartest man on earth, armed with infinite resources, and a production pipeline that can build anything he wants. "No" is not a word that exists in his vocabulary. Anyone that tells him no is an obstacle to be removed.
But taking Eggman and making him into this free love burnout with Vietnam PTSD and generational trauma... making his dad into this heartless abuser... I'm not against giving Eggman depth, but it feels like so much.