DBS Goku keeps everything he gained and learned from Dragon Ball

[super michael]

I am curious to see how the story in DBS would change, if Goku was able to keep his maturity, skills, knowledge and experience from Dragon Ball.

In DBS Super Hero, Goku would accept whatever training Vegeta was doing and he would completely understand Vegeta explanation and help Broly understand what Vegeta was doing.

[Shorty GZ2]

Since how Goku moves DBS along is mainly through him generally getting stronger & mastering/evolving his forms, no significant changes would arise from him acting a bit more mature/smarter (like him remembering to bring the Senzus vs Black & vs Broly) outside of FT arc

[super michael]

Here is one difference, Bulma would tell Goku about the time machine and he helps her while keeping it a secret from Beerus. Bulma manage to create her own time machine.

Goku was able to figure out that the one who killed Grandpa Gohan was himself, when he Vegeta transforminto into his Oozaru form. I would think with that intelligence he would figure out Beerus is the one in the costume and Monaka is a weakling.