The Kaio-Ken doesn't always get the respect it deserves in DBZ, but it's arguably a cooler transformation than Super Saiyan with even better fights.
Goku himself showed audiences the Great Ape for the first time within the first fourteen episodes of the original anime and this would not be the last time that a young Saiyan would be powered by ...
Broly and Paragus survived in different ways in their canon and non-canon versions. Other surviving Saiyans like Turles, Bardock, and Tarble exist in non-canon material.