Since no one answered your question yet, I thought I'd give it a try. I do not know what context "reptile" would be used in a business name. Most people would say "reptiles". Such as in "Ben Seigel Reptiles" or "Kaleidoscope Reptiles".

In a business name or title, you would not say "Ben Seigel Reptile" because, even though "reptile" does cover the animal group as a whole, it does not convey a title or a sense of ownership like you would use in a business name.

Hope this helps you. What name are you considering??