There's a George Lynch version of Bark at the Moon, but I couldn't find a copy on YT. Apparently, Osbourne considered him for Blizzard of Ozz.
Randy and George were friends. When Randy left to join Ozzy, he referred his guitar students to George who took over Randy's position at Randy's mom's music school.
As far as Ozzy goes, there are conflicting reports, so I'm not sure what is the true story and what is rumor/fiction, but right before Ozzy hired Jake E Lee, apparently he hired George. I think that their partnership only lasted a few of days. The two main stories that I've heard are:
1) Ozzy changed his mind and hired Jake a few days later.
2) George turned down Ozzy as Dokken was starting to gather a bit of momentum and George wanted to concentrate on that.
Not sure which is more accurate.
Anyway, regarding George recording Bark at the Moon, I'm not sure about that (but it wouldn't surprise me). I think that I have just about every album he's ever been on, aside from maybe one or two tribute albums he's guested on. I do know that George has recorded some of Randy's stuff with Ozzy:
Mr Crowley
Flying High Again
S.A.T.O.