I completely disagree to it, and not just saying to contradict to you but with my experience of my closed ones!
Unlike life insurance, health insurance involves lot of paperwork and for anyone, its overwhelming to handle it and at this time, the broker comes into the picture.
If you have chosen the broker correctly, they will help in preparing the documents and guiding you, which is very very important because the insurance companies are just sitting to trash your claims, by hook or crook and the only person who can help, with their experience and relations is the broker, whom you have paid some commission to do it.
PS: This particular advice is not applicable to smart and super intelligent people, who can do anything in this world, even writing in SMS lingo on a forum 🙂