So I started a campaign as an Bloodrager, thinking that the advanced class sounded pretty cool. I did not foresee losing our dedicated arcane caster before we reached level 2 though (he quit the group). As far as I can tell, if I multiclass into scorcerer, I would become a better arcane caster (that my group needs) and the only thing I can see that I am losing is the favored class perks (since I plan on pumping all levels from here on out into scorcerer). Did I miss out on some rules, or is this correct?

I have a Bloodrager 1, and I'm thinking of multiclassing into Sorcerer at 2nd level. As far as I can tell, the only thing that I am losing is the favored class perks (since I would plan to pump all levels from here on out into sorcerer). As far as I can tell, I would become a strictly better arcane caster.

Have I overlooked any disadvantages?

The background: I started with Bloodrager thinking that the advanced class sounded pretty cool. Then our party lost its dedicated arcane caster (the player quit) before we reached level 2. I want to step up to fill that empty niche in the party.