As for explaining your reasoning, that is perhaps the case. I would then be curious to know what you would recommend when the recruiter offers the inevitable question of: "Why did you decide to take another offer?" Planning an answer and being proactive about the reasoning in a judicious way can avoid even bigger snafus in response to an unexpected question.
I would be curious to know how you typically offer to help others. I have found in my personal experience, as well as that of others, that asking how I can help is one of the single greatest ways to build trust and respect in a relationship. Now, perhaps "reach your goals" takes it a step too far. If so, simply remove it from the phrasing.
As for the brand. Call it what you will. You have a reputation, or brand, in the eyes of other people. Maintaining a consistent reputation is the point, rather than the exact phrasing of the words.
Again, thanks for offering constructive criticism. I enjoy a healthy debate about career search tactics, and I am always open to continuing the conversation.