You really don't get the distinction? I didn't say no intent to collect the bounty. A DE can have a clear objective of knocking the QB out of the game (and I think most do, bounty or not), without having any intent to inflict a particular injury, or use an illegal tactic or hit.
When the bounty objective is as specific as requiring that the player be carted off the field, then yes, you do require the intent to injure the player if you intend to collect the bounty. Unless, of course, you're suggesting that there are circumstances in which an uninjured player gets carted off of the field.
Does that mean that the hit has to be illegal? No, but if a player has the intent to injure a player to such a drastic degree that they can't walk off on their own accord, then they are more likely to resort to illegal hits. Afterall, illegal hits have been made illegal due to the fact that they cause such drastic injuries.
Sure, you could attempt to argue that no player would ever attempt illegal hits, but that they'd only try to satisfy bounty objectives with legal hits. Nonetheless, one bounty objective was to injure a player. That's not part of the game and should not be acceptable.
Yes, injuries occur and are part of the game, but they should occur as a possible consequence of a full contact sport; they should not occur as the consequence of someone's bad intentions. As Goodell said, intentional targeting of players for the purpose of injuring them should never occur.