It's not clear that this strategy is possible within the the framework of the game show though. The host instructs both players to look at the concealed choices

It's not clear that this strategy is possible within the the framework of the game show though. The host instructs both players to look at the concealed choices before they're allowed to talk to each other. To employ the blind strategy you'd have to explicitly not look at them (and probably say something at that point to make it clear you don't plan on looking at them). This would be directly contradicting the host's instructions. While the host might allow it, I think it's more likely they'll say "sorry, but you have to look at them".