the WTS. is no more. The new name for the Publishing Corporation is the Christian Congregation of Jehovah's Witnesses.
The "Watchtower and Bible Tract Society", of both New York and Pennsylvania, still exist. They are still the publishing arms of the big overall organization.
There were a half-dozen or so new corporations added in 2000 or 2001 or so, including the "Christian Congregation of Jehovah's Witnesses". There's threads all over this forum on it.
No reason was given, but most speculate it iwas for the reason you outline, to mask the Governing Body from legal liability issues. The "CCJW" comprises the Service Department, Teaching Dept., etc., departments not directly related to putting ink on paper.
Most of the time now, you'll see references to literature described as "published by Jehovah's Witnesses", further muddying the waters.