Ok, I was thinking if an offspring has two Exclusive Species Parents, instead of the Genetics just listing their species, they should list them specifically .
I'm going to use my Camellia Lavinia Vulnyxes(I'm not sure if that's the correct plural form) as examples. I have bred two Exclusive Camellia Lavinia Vulnyxes. Their offspring is listed as a normal Vulnyx instead of a Camellia Lavinia Vulnyx. Perhaps if it is descended from only from Camellia Vulnyxes, it will also be listed as an Camellia Lavinia Vulnyx. If it has one normal Vulnyx as an ancestor, it will be listed as a normal Vulnyx.

The reason I am suggesting this is because when breeding, I use the Advanced Search. I filter the Exclusive species from the normal species but sometimes, there are Exclusive offspring that are not listed as Exclusive. This causes them to be filtered out. I think it is a shame, because some of them have really nice genes and stats.

I see this one suggested a lot. It seems to be frequently shut down on the grounds that the admins - all two of them - would have to go through every descendant of every tagged pet to determine what is purebred and what isn't, and then apply a tag to them.

I've also seen it proposed that tagging purebred offspring with the same tag as their parents would decrease the value of wild caught tagged pets, and also create an infinite supply of them. The suggested solution to this is to give them a differently colored tag (maybe green instead of purple) but then we return to the first problem ;O

A few other players discuss this in this thread:

https://www.sylestia.com/forums/?thread=26050

*shrugs* I just thought that would help some breeders but I don't really want to overwork Krin and Fai. Oh well, looks like I'll have to work harder and find a good partner for my darling pets.