Nicolas Cole says outreach shouldn't pitch a service right away. First, make someone aware of a problem they have. Once they see it, they'll ask why it hasn't been fixed, and that's when you show them your angle.
Chapters
This is, I think, what gets lost about outreach. The goal is not actually to sell your service in the first 1, 2, 3, 4, 5, 6, 7 messages. That's not the goal. It doesn't even matter if they know you have a service. The only goal is I have made the other person aware of a problem and I have made them aware of the problem to the point where then they go, "I need to fix that." It's literally just how do I make this person aware of a problem? And then as I make them aware of the problem, they will tell me, "Why haven't you done anything about it?" And then when they tell you the answer, when they tell you that, then all of a sudden you go, Now I know what to speak to.