Is that to think that the critical information won't follow them to whatever name they use? They're doomed, as far as trying to remain "God's Earthly Organization" goes, no matter what name they use.
The critical information would follow them, but it would take time. They could probably dominate the top ten of Google search results with positive references. The critical information would still be around, but the casual searcher would be much less likely to find it. It would probably be better for them if they could arrange for a small sect to break away and retain the name Jehovah's Witnesses. That small group could then carry the negative publicity from years worth of apostate sites. The newly named group could then start a new information race with apostates and probably easily outpace them if they did things intelligently.