As a player who likes exploration, I would love a mode like this! One nice thing about this idea is it could open up the random world generator to more extremes, like surviving a week in an all-snow world. Choosing what's most important to bring with you, not knowing what's ahead, would be really interesting.
I think that would really hurt their purpose. The most important airdrop is the very first one, that comes on Day 4 by default. On that day, the stuff in the crate is typically high value, even life saving for you. But by the time you've advanced enough to start operating electronics or machinery, you barely care what's in the airdrops anymore.