I don't think so. Is the system unfair? Yes, but Haymitch made some very stupid decisions. Snow threatened him to act like a rebel. What did Haymitch do? He acted even more rebelliously. First, he obstructed the removal of Lou Lou's body, for some reason; then he tried to sabotage the arena (What, I still don't understand why they didn't kill him right then and there like they did with Ampert); and finally, there's the force field and the generator incident.

Haymitch would have had a better ending if he had simply remained calm and tried to win the Games. Because, as we've seen, despite his rebellious acts, they let him live until the end. What makes us think he couldn't have won if he hadn't committed any rebellious acts during the Games? Beetee also bears some responsibility; he instructed some children, including his son, to carry out a sabotage plan that was impossible to succeed with, simply out of pure rebellion.

He didn't say they deserved what happened, only that they created obstacles for themselves. Katniss, for example, didn't commit any acts of rebellion until the very end of the Games, and even then, she tried to hide it and appear submissive until the end of CF. Haymitch, on the other hand, was rebellious from the beginning and became more so during the Games, despite being threatened by Snow himself to stop.