That's because the langauge used in America is English and in English you say American Sign Language. The language used in France is French and so they say Langue des Signes Francais. When you translate French to English, as this poster did (because she is from France), she translated it into English. If she had made her post in French, how many members of this board would have been able to read it? If she were to say American Sign Language in French, she would say Langue des Signes Americacain.
It is the same thing as translating ASL into English. We don't write "Store go". when putting ASL into English. We say or write, "I am going to the store." It is the same when translating any other language.