"Zenyatta Mondatta (P)" in JC Registry?

[Merlinsky]

Per the Jockey Club's Online Name Registry:

"14. Permanent names. The list of criteria to establish a permanent name is as follows:
a. Horses in racing's Hall of Fame;
b. Horses that have been voted Horse of the Year;
c. Horses that have won an Eclipse Award;
d. Horses that have won a Sovereign Award (Canadian Champions);
e. Annual leading sire and broodmare sire by progeny earnings;
f. Cumulative money winners of $2 million or more;
g. Horses that have won the Kentucky Derby, Preakness, Belmont Stakes, The Jockey Club Gold Cup, the Breeders' Cup Classic or the Breeders' Cup Turf; and
h. Horses included in the International List of Protected Names."

I'm a little confused, and I was hoping someone here would be able to use their powers of analysis for good and clarify something for me. I was curious as to whether anyone's tried to add something to Zenyatta's name, e.g. Zenyatta's Song or something, and named their horse that. I see her name and Zenyatta Mondatta, both with (P) next to it indicating a permanent name. Now, as far as I can tell, there's been no Zenyatta Mondatta TB. Certainly not one of note. If it's copyrighted as The Police's album, fine. If it's just the whim of the Jockey Club that nobody should get to usurp her name like that, fine too because they turn down names for issues like taste or whatever they want to come up with. Be mysterious about it. Go nuts. I can't figure out why ZM is a permanent name. Just don't let people name a horse that, fine, but shouldn't it conform to the rules for permanent names in the JC Registry? This is what happens when I get bored. I get into mischief researching things. Gotta find something more worthwhile to do. *sigh*