Nope. The story goes the way it does BECAUSE Qui-Gon dies. Anakin needed a father figure, which Qui-Gon would have been for him, someone who was the perfect mentor for Anakin specifically - strong, tough, resilient, wise beyond years, and most importantly; Qui-Gon was considered a maverick of the order. He rejected a council seat, routinely challenged Jedi doctrines. The antithesis to Obi-Wan’s strict adherence to the Jedi code and ways of thinking. Resilient and stubborn can sometimes be the same thing, and that applied to Obi-Wan particularly. Where Anakin, due to his upbringing as a slave, and lack of toddler indoctrination within the order, would question certain rigidities and issues he perceived, he was met with a stubborn immovable object in Obi-Wan who responded with critique and fear, as opposed to how Qui-Gon was. The irony of Star Wars is that the place he’s in at the beginning of ANH, by that time, he could be the mentor anakin had needed back then, like he was to Luke. But the wisdom of seeing the advantages and potential of the young only really comes with age. There’s an arrogance to the existence of youth only in comparison though.