Don't get me wrong, David Draiman does not drink at all and does singing lessons to keep his voice 4-6 hours every other day with a person to work on keeping his range. That is dedication, but he is still 3-4 octaves at best.
As far as Axel is concerned he can hit 5 octaves but can't hold range but within 3 of them. There is a reason he cancelled the snake pit tour with Metallica in 1990. When your opening act outdoes you, you might want to come up with the idea of switching closings and openings. Instead he threw a fit and walked off after 3 songs and cancelled the tour. A bit of a child move but you get the point.
With today's technology they both would sound awesome even live with the editing we can do with mixing boards to even vocals, but in their prime, they both were decent at best live..... Seen them both several times live and much like Dave Mustaine from Megadeth, only technology can help make them fit a best vocalist category....
I love all three and enjoy their music, but not fitting for best vocalists.
When I think of vocalists that fit all time greatness, I look for range, pitch, and yes showmanship. Not the biggest Aerosmith fan but Steve Tyler fits the bill..... Bad Company with rather Paul Rodgers or Brian Howe fits the bill. While I am barely a fan of Judas Priest, Rob Halford fits the bill. There are many that can do it live just as well as they do their fully edited albums. While not the biggest name to be thrown out here so far, I think David Gilmour should be added here..... No he is not Roger Waters but he can still do it all and in 5 octaves......Insane considering his age and being the back up vocalist.