I Love Player Elimination
Player elimination is one of the most underrated and inordinately hated game mechanic. It has problems, but player elimination can sometimes mitigate kingmaking and leader bashing by completely removing players who have virtually no chance of winning. Besides, I'd much rather die an epic, heroic death than a slow, painful one. If I'm behind, I'd much rather get knocked out directly than indirectly than to pointlessly continue playing with no hope of catching up. Besides, player elimination games can fare very well as online asynchronous games. As soon as a player dies, the player can just move on to the next game.
In any case, I don't think it's objectively bad. It all comes down to personal taste and most people happen to resent it. Either that, or more games should incorporate withdrawal rules that don't disturb the flow of the game.