What doesn't make sense is your idea that prepare makes what the DM does not meta.
Almost everything the DM does is meta. Prepping in advance prevents quantum like the cook being both in the kitchen and not on the kitchen until the die is rolled. However, the DM placing her in the kitchen during prep is still a meta decision. The DM making a chart with the odds of her being in a particular room and then rolling is a meta decision.
Outside of roleplaying the PC interactions with the established world and NPCs, virtually everything the DM does is meta.
You can dislike luck mechanics and other meta-currencies, but you can't avoid other types of meta in your game.