First off, let me say that I agree 100% with Sir Patrick on his original answers, and also with most of what Mucho said in his response as well.
To answer your question (OP) is a little more complicated than that as well. First of all, there are specific websites that are involved in the naming of corals; for example coralpedia.com some of these sites will not allow you to put your name in front of the coral.
For example, I was involved with naming the Mandarin Orange zoa on coralpedia (Marvin and I worked it out together). It isn't Wy Renegades or Marvin's Mandarin Orange, its simply Mandarin Orange. The part I disagree with Mucho on is that names are always about hype. While I helped to name the original polyp, and actually had at the time a very nice colony, I never sold a single polyp. I just thought it was kind of cool to have my name associated with a particular polyp.
Further, I think you have to be carefully when saying my coral looks exactly like another coral, especially if you are basing that on seeing pictures on the internet. When the Space Monster paly first hit the scene, there was another reefer who insisted that it was her exact paly under a different name and the the founder of SM was just out to make a big buck off the Tyree name. Many agreed with her based on pictures that they were the same (even I agreed it was very close if not the same). However being curious (since I already had SM), I had her send me a frag of her polyp. Once I had them both in the same tank, it was immediately obvious that they were in fact not the same polyp. To be fair, I gave is several months to have the same opportunity to adjust to lighting and tank chemistry, then began posting pictures which clearly show they are not the same. However, based on the original discussion, many who do not have the two still want to argue that they are the same.