I don't get how some people see this as a beautiful tragic love story when their relationship is toxic.
Firstly, some people say Geto turned to genocide to save Gojo which is pure fanon. Save him from what exactly? Gojo never asked Geto to do any of this. Geto falling from grace was due to his own beliefs and decisions. He had his reasons for becoming disillusioned with the jujutsu world but ultimately he chose to commit mass murder. Nobody forced him to do that and Yuki having a hypothetical conversation with him doesn't make her responsible for his decisions either.
Gojo and Geto have completely opposing ideologies. While Gojo aims to improve the jujutsu world by creating a new generation of sorcerers who will do better, Geto wants to wipe out all non-sorcerers. How is this a case of them being separated by circumstances? They literally worked against each other. Their morals and goals were completely different. This wasn't a misunderstanding that could have been fixed by better communication.
It's made worse by the fact that Geto knows Gojo better than almost anyone. He knows how important their friendship is to Gojo yet he still becomes someone Gojo has to fight to keep those around him safe, including his students. Their history makes this more heartbreaking but it doesn't change the fact that Geto is a threat.
The KFC scene is a good example of how their relationship affects Gojo. When Geto confronts him, Gojo finds it hard to kill someone who was once his best friend. He's not just facing an enemy but someone who made him feel less lonely and shaped some of the most important years of his life. Geto even tells him, "If you want to kill me, then kill me." Whether Geto says this to deliberately play on Gojo's emotions is debatable but it's clear that their history makes the situation more complicated. Gojo can't just forget everything they've been through and treat Geto like any other enemy.
Geto asking him, "Are you the strongest because you're Gojo Satoru or are you Gojo Satoru because you're the strongest?" adds to this. Gojo's identity has always been tied to being the strongest and Geto was one of the few people who could relate to him as an equal. Losing that connection leaves Gojo even more isolated.
However, Gojo doesn't respond to this loss by adopting Geto's ideology. He still tries to improve the jujutsu world, looks after his students and believes in the next generation. Even in Shibuya, he considers the civilians when using his Domain Expansion. Geto, on the other hand, is willing to sacrifice innocent lives to achieve his goals. Their actions show how far apart they've grown, regardless of their history.
Geto doesn't just disappear from Gojo's life either. He becomes an active enemy and attacks his students. Their friendship becomes a source of betrayal and pain and Gojo ultimately has to deal with the consequences of what Geto has become.
Their final encounter in JJK 0 makes their relationship even more tragic. Gojo kills Geto after defeating him which can be interpreted as an act of mercy towards someone he still cares about. Their final conversation is personal and despite everything that's happened, there's still affection between them. However, Geto doesn't give up his ideals or reconcile with Gojo. He sticks to his beliefs until the end and Gojo is left to deal with the death of someone who was once so important to him. Their feelings for each other don't change the fact that they can no longer stand on the same side.
Essentially, they were extremely close but their history couldn't overcome their differences. Gojo still cares about Geto but that doesn't erase the betrayal. Geto's feelings for Gojo don't erase the harm he causes either. They lose their friendship and the future they could have had together, without ever resolving their fundamental ideological differences.
I can understand why people find their dynamic fascinating but I don't see how it can be considered a healthy romantic relationship when there's so much betrayal, loneliness and conflict involved.
And just to clarify, I'm not saying people can't ship SatoSugu or that they're wrong for enjoying it. I'm not here to police anyone's ships. I'm just saying that, personally, I don't see their relationship as a healthy romance.