The differentiation between what Moz does and what SEOs do is both real and useful. Moz hasn't fit into the paradigm of "SEO" for a while, so it's best they don't call themselves an SEO tool company anymore.

Interestingly, the same is true of many consultancies who have also become tired of the expectations and (in my opinion, justified) stereotypes of SEOs as spammers. Many have begun removing "SEO" from their branding messages.

I really don't think anyone is going to confuse Moz and Mozilla. Would you? Outside the tech community, most people only know "Firefox" anyway. Those who are even vaguely familiar with either brand will immediately see the difference.