dnd 3.5e – Should the known Bloodline bonus spells be added to the class that qualified him for the feat?

Bloodline feats (for example, Aerial Bloodline) grant additional known spells and require you to be a spontaneous arcane caster.

But are these known spells only added to the class that qualifies you for the feat? Could you add some or all known spells to a list of spells of a different class (for example, Sha & # 39; ir, for a prepared caster who still needs to learn spells), instead of or in addition to his (for example) list of sorcerer spells?

I don't actually have the Dragons CompendiumSo I'm stuck with D&D tools for reference. If the answer to this question is explained clearly and obviously in Dragons Compendium, I apologize.