Here's a thought. What if the Tamer class could merely temporarily tame a wild beast (without the chance of it turning on you, of course), while the Beastmaster job gained the ability to have a few permanent pets? The job could then have it's faithful companion, as soon as it's unlocked, while still utilizing the temporary CC taming abilities native to the class.

Honestly, I could go either way with the class permanence topic, but it's worth discussion.