I don’t know that everyone would label it like that, but it’s inarguably true that success in academia comes from your reputation/name recognition.
Metrics are often attempts to formalize this but they’re not how most people actually make decisions: nobody is inviting seminar speakers or choosing collaborators because they have a high h-index. If anything, it goes the other way: name recognition gets you invited to speak or collaborate, which makes more people aware of your work, which boosts metrics.
That is false. The first thing everyone (at least everyone in CS---IDK about other fields) looks at are h-indexes, impact factors, number of papers per year, university rankings, and similar metrics. Researchers are most definitely selecting collaborators with a high h-index.