How do you position yourself when doing backlink research for clients?

One of the things I struggle with is how to position myself when doing link-building outreach on behalf of a client. Obviously, it's best for outreach to come directly from the client themselves so that it comes across as more genuine. Most of our clients prefer to outsource the entire process.

When doing outreach on behalf of clients, how do you position yourself? Are you typically transparent about working for a web agency, or do you take the "I'm with the company" angle?