Не понял, о чем твой вопрос. Зачем противопоставление "хотя"? Ведь он не возражает против "кота", который переводится как "кот"?

Энивей, вот подстрочник:

Although you don't mind the name 'cat' (however it can be translated as 'cat'), why are you against the 'dog' then?

>>24961
But you don't object to the name <>, although it can be translated as <>. Then why don't you like <>?

Предложу такой вариант.

You didn't seem to mind <>, even though it could be translated as <>. Why don't you like <> then?