If the Reds had drafted Mulder, Hudson, and Zito, then PROPERLY developed them, I hardly think you would use the word 'lucky'. Drafting is a LOT more than luck. It involves intensive scouting, workouts, etc. And it doesn't stop after drafting. The player has to be properly developed through the system, the perfect combination of patience and caution. Drafting and developing involves a lot of skill. And certain players have been available that the Reds didn't take in various situations. Strong drafting and development is not merely lucky -- good organizations do it well and bad organizations don't.
I don't dispute what you are saying. In fact, you are making my point. The Reds' INABILITY to do these things is good luck to those teams who take advantage.
Two years ago, Ty Howington was the #2 ranked left-hander in the minor leagues(according to BA). I would call his injuries in 2002 "bad luck" while it stifled his proper development. (By the way, if you want "bad luck," look at the #1 ranked left-hander in the minors: Rayn Anderson. How many injuries has he had?)
As far as the Reds' troubles in the draft, see my other post in this thread.