He'd probably be more calm. Hestia's influence would likely make him less likely to jump into dangerous situations without thinking. He'd have a different view of family and might be more inclusive towards others, seeing them as part of his extended family.
Harry's character could become more centered around the idea of home and belonging. Hestia being the goddess of the hearth, he'd grow up with a deep understanding of what it means to have a safe and loving place. This could translate into his relationships at Hogwarts. He might be more protective of his friends and see Hogwarts as his true home in a more profound way. He could also be more empathetic towards those who lack a proper home or family, like Neville. His magic might also develop in a way that is more in tune with Hestia's nature, perhaps having an affinity for defensive spells related to protecting the home.
In a fanfiction where Harry is raised by Hestia, his character would be molded by her nurturing presence. Hestia is often depicted as gentle and kind, so Harry would likely inherit these traits. He would be less bitter about his past, as Hestia would provide a loving environment. His confidence would grow in a different way, not just from being 'the Boy Who Lived' but from the love and support he received from Hestia. This would affect how he interacts with his peers and teachers at Hogwarts. He might be more of a mediator in conflicts, using the peaceful values instilled in him by Hestia. Also, his relationship with magic would be different. He might explore magic not just for the sake of fighting evil, but also for creating a harmonious and safe environment, like Hestia does with the hearth.
Chapter 339, "The Changes of Li Hu and Yang Zhong, the Hou Family's Opportunity, Advice (Part 4)", is the clearest early answer because it turns Great Xia's situation into a concrete plot event. The setup is Only now did Yang Zhong remember that Li Tiancheng in front of him is..., but the pressure keeps building through He even participated in the compilation and formulation of the Xia....
Chapter 328, "Unexplainable Anxiety, Jade Dew Stone, Li Xuanling's Panic", is the clearest early answer because it turns Li Xuanling's situation into a concrete plot event. It opens with Although the Wolf King has been executed, there are still at least... and closes on The half-hour passed in a flash, and seeing the army all set, Xia....
Chapter 338, "Rapid Progress, Martial Arts Skills, Dual Advance Eastward, Dormancy Period", is the clearest early answer because the buildup finally cashes out in a real clash. The chapter turns that into something concrete by moving from Lu Yang poured out everything he knew in one breath. to If we continue exploring east along the Xing River North Bank,....
Chapter 304, "The Defeated Longyou Army, Xia Army Cannot Escape, Holy Tripod", is the clearest early answer because Great Xia gets a payoff that changes the stakes. The chapter turns that into something concrete by moving from As the two armies distanced themselves, the underground main zone... to How are the soldiers' conditions?" Just earlier, after the Teng Jiao....
Chapter 310, "The Leader Is Still the Best, The Consequences of Losing the Bet", is the clearest early answer because it turns Yue Feng's situation into a concrete plot event. Early on, Making the same mistake twice, you are no different from the Li.... By the end, Xia Hong did not coddle her, slapping her directly, then raised his....
Chapter 324, "Early Drills, Surge in Cold Resistance Level Members", is the clearest early answer because Cold Beasts finally turns buildup into a real advancement. The chapter gives readers a real answer by opening on In terms of Cold Resistance Level numbers alone, there is no longer... and ending on The crowd was momentarily stunned, then responded loudly in unison:....
Chapter 274, "Weakness and Strength, the Final Battle Begins (Part 2)", is the clearest early answer because the buildup finally cashes out in a real clash. The chapter gives readers a real answer by opening on The strength gap between us is threefold, Master Luo. and ending on Next were Xia Chuan and Xu Ning.. In story terms, the danger stops being abstract and the conflict around Meng Yi becomes immediate, forcing the surrounding cast to react under pressure.
Chapter 325, "Mobilizing the Beehive, Where Is the Divine Arm Bow? Full Deployment", is the clearest early answer because it turns Cold Resistance Level's situation into a concrete plot event. The chapter turns that into something concrete by moving from Second Year of Great Xia, December 29 As night fell, the underground... to Of course, there's also the two tribes of Frost Wolf and Snow Mane,....
Chapter 324, "Early Drills, Surge in Cold Resistance Level Members", is the clearest early answer because Cloud Dragon Army finally turns buildup into a real advancement. The chapter gives readers a real answer by opening on In terms of Cold Resistance Level numbers alone, there is no longer... and ending on The crowd was momentarily stunned, then responded loudly in unison:....
Chapter 41, "Actually Still the Museum Director?!", is the clearest early answer because it turns Buddha's situation into a concrete plot event. Early on, The live streaming room suddenly boiled over again.. By the end, In contrast, Wen Jiaojiao didn't have such awareness..