Then come the change in name, bigger again.
I remember when I was a kid and we went door to door to try to show people God's name in their own King James Bible. Never did I know that "Jehovah" was a mis-translation.
In today's world of instant communication and instant knowledge, it doesn't take one more than a few minutes on-line to discover the truth behind the name "Jehovah".
So now, it's kind of hard to go around telling people that only Jehovah's Witnesses use God's real name.
But I can't see the Society going to the extent of changing the name of the religion itself, for the sake of truthfulness. That would be like Ford Motor Company changing their name just because they want to distance themselves from the Edsel and the Pinto.
But, the corporations that run the religion have morphed over the years and have changed their names. So a name change in one of those corporations would not be that surprising. It would almost be expected every so often as corporate and tax laws change.