Maybe that's what you feel, but it's not what you've articulated to this point.
"You wouldn't be happy if Jon Lester hit the 15 or 30 day DL?"
That is, quite clearly, talking about the injury, rather than its effect.
But regardless, all I'll say is that I would never want any players to get hurt. When AdGon got hit on the hand by CC, the first thing I said to the person I was watching the game with was that I hoped he was OK. Same thing when Lester got hit in the knee by a Melky line-drive in 2009 (first two potential Sox's injuries that came to mind that I remember seeing when it happened). Based on what you've said in the thread, I suspect that if A-Rod got hit on the hand, or CC got hit by a line-drive, you'd prefer if they had to go on the DL.
At the same time, I realize that you wouldn't necessarily be happy about the injuries, but rather what they meant for the Yankees and the Red Sox. But where we differ is that I wouldn't want any player on any team to miss any time. To each their own.
EDIT: And, unfortunately, that's probably better than the way a lot of fans view injuries to rival teams (especially Yankees/Red Sox).