Fasha would've been better as Raditz's mom through Bardock's early days (from the common Saiyan breeding traditions where males & females rarely share feelings) and then later on Bardock develops feelings for Gine and they have Goku (which explains him having a more gentle nature like his mother, especially after he hits his head as a baby).
In retrospect, Raditz could've played a BIGGER role in DBZ as Goku's older brother...and could've been the product of a fierce rivalry and interesting storylines between the two that could've gone further than the original Saiyan Saga.
If they ever "rebooted" DBZ...I'd like to see Raditz in a more prominent role as a more eminent villain and potential anti-hero (sort of like Vegeta, but never really becomes "fully" good). I'd introduce Raditz as Frieza's right-hand man...even more trusted than Vegeta (he WAS the Prince of all Saiyans) and there's a hatred between the two (mostly because Raditz is perceived to have given up his pride to kiss Frieza's butt while Vegeta still hints at eventually rebelling against Frieza). I'd have Raditz also be extremely cunning and manipulative, unlike most Saiyans who use brawn, he also uses his intelligence. Raditz goes to Earth to try and recruit his brother and nearly kills him, warning him he'll be back in a year's time. Raditz then convinces Frieza to send Vegeta and Nappa to recruit Goku to Frieza's cause, knowing that Goku may be powerful enough to defeat the two and humiliate his rival, Vegeta.
Vegeta returns alive to Frieza (and in a turn from the original DBZ) having successfully defeated and captured Goku (who defeated Nappa) and bringing him to Namek, where Frieza has been looking for the Namekian Dragon Balls. Goku and Raditz have some moments together, where Goku learns of his father and mother as Raditz tries to manipulate him into joining him so they can together destroy Frieza and rule the galaxy. Goku also learns of his Saiyan heritage (as well as the story of the Super Saiyans) through Vegeta, and their grudging rivalry and respect begins to grow. While both desire Saiyan power restored, Vegeta is more "noble" about it than the manipulative Raditz. This culminates with Frieza revealing he knows of Vegeta's planned rebellion and kills him in cold blood before Raditz and Goku. This shocks even Raditz, who despite never being fond of Vegeta, never expected him to be outright murdered and believed he deserved a warrior's death. Raditz turns on Frieza and together with Goku, they both fight Frieza throughout his forms along with Piccolo (and Gohan and Krillin who mostly watch). Frieza kills Raditz, who shares some final words with his brother and this triggers Goku's transformation into a Super Saiyan.
Anyways...just an idea!