Understanding the candidate's motive tells you what kind of person shows up: someone who chose control over dependence.
Selection pressure. The people who take this path have records strong enough to carry a case and the initiative to run one. Those are, not coincidentally, hiring signals.
The candidate gets an engagement that strengthens a real case; you get a person whose work you could read before you ever spoke. The letter that starts it is one page.
Control. The agent-based route lets a candidate run their own visa pathway instead of borrowing an employer's — and that benefits the employer too.