What is more valuable for you from a Candidate's Profile?

What do you make out from this Conversation between a Recruitment Consultant & a Prospective Candidate? You may need to think carefully. Your mindset would perhaps decide your talent sourcing skills:

Consultant: The client has decided to avoid pursuing your application.

Candidate: What is the reason?

Consultant: Because you worked with so & so company before.

Candidate: What is it got to do with my competencies?

Recruiter: It is about the image of the company & it’s owners.

This conversation is evident of a inevitable fact. Company & it’s Owner’s Image could impact the future prospects of one’s hiring. Question might be, is it sufficient? Is there a possibility of risk loosing talent? What would you do, if you are entrusted to find talent?