If Jehovah's Witnesses believe they should use Jehovah to be accurate why don't they use Jesus' real Hebrew name? I think everyone knows that the name Jesus is Greek, but why don’t Jehovah’s Witnesses use his Hebrew name, which is closer to Joshua than to Jesus?
There's a problem with one of your assumptions: Jehovah's Witnesses don't use Jehovah &quot;to be accurate&quot;. They use Jehovah because they think it's important to call God by name, and because Jehovah is the traditional rendering in English. They accept that the original pronunciation has been lost, and argue that were it important, Jehovah God would not have allowed it to be lost. They do make linguistic arguments in favour of a trisyllabic pronunciation, but these are lesser considerations.
They also remark that many names contain elements of the divine name: Jeremiah and Jehoshaphat, for example. They argue that if you were to change Jehovah to Yahweh, you should, for the sake of consistency, change these names too.
For more information, see their official publication The Divine Name That Will Endure Forever.