And you're a proud host. You want your guests to leave satisfied. You don't want to ruin their dinners just because Elrond's a scaredy-cat. So you pass the menu around the table, and take individual orders. You don't do this for Elros' family because you knew he got it right on the first try.
Man fears the unknown.
The Gift is unknown, uncertain. The game show host wants to know if we'll keep it, or take the unknown behind door 2, which is possibly a cold million in cash. I'm not sure that death scares people. It's what comes after that we're uncertain about, and that scares the hell out of us. The Eldar have it all laid out for them.