There's certainly scriptural support for the idea.
2 Thess 2:6-11 And now you know what is acting as a restraint, so that he will be revealed in his own due time. True, the mystery of this lawlessness is already at work, but only until the one who is right now acting as a restraint is out of the way... That is why God lets a deluding influence mislead them so that they may come to believe the lie
There's a difference between Jehovah doing something and allowing something to happen. (At least in JW theology there is a distinction between the two) Don't forget Satan hates the name and works against it. JWs already teach that true Christianity was submerged in Christendom for around 1800 years. The suppression of the name is a logical corollary.
Obviously I don't think Jehovah approves of all modern JWs have done just as he didn't approve every king or action of ancient Israel. Or that being a JW is necessary for survival.