Their argument is "Jehovah is the mostly commonly recognized English translation; No one gives us flack for using "Jesus" instead of "Yehoshuah", so why give us flack for using "Jehovah" instead of "Yahweh"?
I think it is a reasonable argument. Names are translated just as any other word is.
The simple reason for giving flack is because they make such a BIG DEAL about RESTORING God's name in the Bible, even going so far as to insert it into the Greek scriptures where THEY THINK it's supposed to be. If they are going to restore God's name, then RESTORE GOD'S NAME!!! Don't give it a half-baked effort!!!!
Edited to add: Those who cry out the loudest will get the most attention. JWs are the ones bringing this upon themselves because they cry out the loudest that they, and only they, have the truth, and that they, and only they, use God's name, and that they, and only they, BEAR God's name. Just saying... the flack is well-deserved.