Vickie, I am sure that is what happens. But people can get nasty and suspicious over names. Some of the most awful fights in biology have been over names. Names have power - or people give them power. That is why there are legal systems like the AHS system, which is not in isolation but within the system of international codes.
The major advantage of a legal naming system is to avoid the confusion of homonymy, as nomenclaturists call it: multiple 'entities' with the same name. That is what the international codes are set up to do. They are all based on precedence: first name in, first served, as long as it is properly formed.
And, as always names exist, the cultivar doesn't have to. It is the same for natural biological species. For example, the Loch Ness Monster has a valid designated name, Nessiteras rhombopteryx Scott 1972, that is properly formed according to the zoological code of nomenclature.
