"Rules" for hybrid animal taxon names

It’s interesting that when a plant is proven a hybrid through DNA testing, the “×” is added between the genus and “species” name. Perhaps this can open up a new choice in deciding F2 and F3 hybrids in the animal kingdom. Because surely one would live knowing it as…

Aspidoscelis veloxPlateau Striped Whiptail

So by following the plant guidelines, it would be logical to rename the species as…

Aspidoscelis × velox

Instead of the suggestion I had to name F2/F3 hybrids.

Aspidoscelis [burti × inornata] × burti

Should that be the case for all F2/F3 hybrids? Probably not, depends on if the hybrid is described as species originally or not. And for those interested in the topic of Aspidoscelis, here’s a 200 page paper on the hybrids and genus.

https://digitalscholarship.unlv.edu/cgi/viewcontent.cgi?referer=https://www.google.com/&httpsredir=1&article=2748&context=thesesdissertations

I also thought I’d add the topic in which I learned about plant hybrid rules.
https://forum.inaturalist.org/t/why-do-plant-hybrids-has-such-weird-scientific-names/6043