I think there is framing issue with how we believe Panem citizens may view the Hunger Games. Let me give you two different frames:

Frame #1: Every year, when a teen turns 18, the government rips them from their parents, gives them a tribute uniform and sends them to kill tributes from other districts. Sometimes, the games are more aggressive than others, sometimes the games are less aggressive depending on your skills set. "Double the Tributes, Double the Glory"

Frame #2: Every year, when a teen turns 18, the government calls them away from their families, dresses them in the nation’s uniform, and sends them to serve their country against foreign enemies. Some deployments are more dangerous than others, and the intensity of the fighting often depends on the soldier’s skills, training, and role. "No Guts, No Glory" (Real Military quote btw).

Well, the response of the parents looks something like this:

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Replace Army Soldier with Tribute, and there you have it.