I've never heard anything about Neil owning these. Here is what Rolling Stone has to say:
The 20 reel-to-reel tapes that hold the entire sessions sat in the Woodstock home of the Band's Garth Hudson until about ten years ago, when he sold them to Canadian collector Jan Haust. Dylan's office cut a deal with Haust that allowed the tapes to finally come out officially. "They had deteriorated some and a few reels were missing," says a source close to the Dylan camp. "We had to find copies of a few on cassette and DATs." Through painstaking research, and a little guesswork, the songs are presented in roughly the order they were taped, though a series of half-completed or poorly recorded tracks reside on the final disc. The material has also been remastered and sounds infinitely better than even the best bootlegs. "Everything is coming out, besides four or five things that just sound like distortion," says the source. "We usually curate these packages more, but we knew the fans would be disappointed if we didn't put out absolutely everything." http://www.rollingstone.com/music/news/bob-dylan-complete-basement-tapes-bootlegs-released-november-20140826#ixzz3BWbqyMnJ