I think the original topic has been well answered by others more knowledgeable than me, but getting back to these points, yes, Ozzy did bite the head off a bat
I can't remember why exactly, but the audience got into the habit of throwing toys on stage. Someone threw a real, dead bat on stage, Ozzy thought it was a rubber toy until he bit it, and had to suffer rabies injections thereafter.
I can't remember if this was before or after the bat incident, but at one point he was with Sharon, pitching to CBS executives I think, in one of their meeting rooms. He was very drunk. He had some doves hidden under his top. Sharon had the idea that he'd release them into the room at some point, like a magician, I suppose. Sounds like a terrible idea, but then instead of releasing them, Ozzy took one out and bit its head off.
I've ignored all your other examples because I agree with the point you were making. So much of the rumours going around about these bands, especially in the 1980s, were utter rubbish. AC/DC stands for anti-christ / devil's child (not), play records backwards to get hidden satanic messages (rubbish, half of them were so out to lunch they struggled to successfully make sense played forwards, and if they could figure out how to add subliminal messages backwards, they'd have been saying "buy more of our records"). Ozzy was at one point accused of singing "I tell you to end your life" on Paranoid when he was in court being sued for encouraging a teenager's suicide (the focus being around his song "Suicide Solution"). The actual lyric in Paranoid is "I tell you to enjoy life", which fits with the follow up lyric ("I wish I could but it's too late"). Heck, in the 1980s I even heard some anti-rock music minister arguing that Olivia Newton-John's "Physical" was satanic.
So, just sharing Ozzy's stories as anecdotal because even in the bizarre world of 1980s rock stars, alcohol and drugs, Ozzy was a uniquely crazy person when he was drunk. He lost all of his limits.
And yeah, every time I hear "Born in the USA" (chorus only) being played as a kind of Proud to be American anthem, I do have a quiet laugh. "Fortunate Son" I think was sometimes similarly misunderstood, though I think more people clicked in to what it was about. Often when played in a Vietnam movie, it's supporting exactly the people that the song was written about. Those stuck in the war with no idea why they're there. Maybe sometimes it's me misunderstanding what Proud to be American is, warts and all. Embracing the imperfections because nobody's perfect. I dunno.