That's pretty much what I came to say. In college I had probably about 20+ different instructors, hired by the school, each teaching one small part of the curriculum dictated by the school. The individual instructors certified to the school that I had completed the designated portion of the curriculum according to standards and the school presented me with a degree indicating that I had satisfactorily completed the entire curriculum. This makes sense, since none of the individual teachers were in a position to testify that I had done everything necessary for the degree.
In BJJ I was promoted by my instructor who has personally observed and worked with me for years. My black belt certificate is signed by him, his instructor (who at least watched me roll a few times), and a couple of other senior black belts who have known me for years and have rolled with me. Each of those individuals is putting their name and credibility behind the notion that I have the skills and knowledge expected from a BJJ black belt. That means something to me. If I wanted my rank recognized by the IBJJF, I would need to fill out a form, have Carlson Jr. sign it, and send a big check off to the IBJJF (with another check for renewal every year). The IBJJF had nothing to do with my training and knows nothing about me, so such "recognition" would be worthless to me.