His power would develop more in line with Saiyan traditions. He'd probably have a stronger base power due to the intense training environment on Planet Vegeta. There would be more emphasis on raw power and combat skills from a young age.
Well, he would probably be a very different person. He might be more in tune with the Saiyan warrior culture. He could be more aggressive and less empathetic compared to the Goku we know. He would grow up learning the ways of the Saiyans on Planet Vegeta, which means he'd be trained to fight and conquer from a very young age.
If Planet Vegeta was wished back, it would likely bring back old enemies and allies. The Saiyans might have to deal with the consequences of their past actions and find a way to coexist peacefully or else face more destruction.
Goku is often a popular character in such fanfictions. Since he has Saiyan heritage from Planet Vegeta, his time - traveling adventures back to his home planet's past or future can be really exciting. He could discover his true Saiyan roots more deeply and maybe even change the fate of his race.
Well, in a lot of Dragon Ball Z fanfics, the idea of Planet Vegeta still being around is really interesting. It could open up so many new storylines. For example, if Planet Vegeta was still around, Saiyans might not be scattered all over the universe. Vegeta might have grown up there in a completely different environment. There could be political intrigue on the planet between different Saiyan clans that we never got to see in the original story. And of course, there would be a whole different dynamic with Frieza if the planet was still intact.
In this fanfic, a key element could be Bardock's newfound power. Maybe he discovers a hidden ability within himself that gives him the strength to save the planet. Another element might be the relationship he has with other Saiyans. His comrades could play a role in either helping or hindering his mission.
Another aspect could be the impact on power levels. If a Saiyan travels through time and trains with their past or future selves, their power levels could skyrocket in unexpected ways. They might also bring back knowledge of new training methods from different time periods, which could revolutionize how Saiyans train and become stronger.
Bardock may start as a typical Saiyan, focused mainly on fighting and power. But as he faces the threat to Planet Vegeta, he could start to develop a sense of responsibility. He realizes that there's more at stake than just his own glory in battle.
Vegeta, of course. His backstory related to Planet Vegeta is full of potential. You could explore his early life, his relationship with his father, and how the destruction of his home planet shaped him. Bardock is also interesting. His premonition about the destruction of Planet Vegeta could be further delved into. And Nappa, his loyalty to Vegeta and what his life was like on the planet before they became Frieza's minions.
One idea could be exploring the daily life on Planet Vegeta before its destruction. What kind of culture, traditions, and hierarchies existed there? Another could be a story about a Saiyan who was sent away from Planet Vegeta just before its destruction and their journey to return and find out what really happened. Maybe there could also be a fanfiction about the Saiyans' relationship with other races in the universe from the perspective of Planet Vegeta.