The problem is not greed. The problem is government dictating how people should run their lives.
Greed for money or goods is a material form of avarice. The lust to have and perpetually expand power at every opportunity is just a non-material form of greed. The latter is more dangerous by far because it is backed by the police power of government and there is no counter-force causing it to retreat. There is only incremental advancement.
This isn't a road or an essential utility or a national security issue. There is no real public interest here. Ergo, the correct solution would have been to dismiss the suit and tell the plaintiffs that they are free to form their own clone registry. The fact that the current registry is a monopoly would be immaterial because said monopoly excludes clones and thus wouldn't compete with a clone registry. The clone registry would probably find itself entirely without competition. Then those who are interested in cloned horses know where to look while those wanting horses bred the old-fashioned way also know where to look.
Apparently that's just not as fun as forcing people to do what they explicitly don't want to do.