Yes but why wouldn't they bring more in if there was a demand? Other than the fact that the Egyptians guarded the cats zealously at one point, once Greece and Rome took over the place, they could do what they want with the cats. At that point there was a lot of interbreeding between 'domestic' cats and the wild species that lived throughout Europe. This would have caused some biodiversity.

I'm still trying to figure this all out, so half the things I'm saying are me thinking out loud.