If he had presets, everyone would just get confused.
Picard would be having a talk with Riker in the ready room, and would casually stroll to the replicator.
R:"So I turned down another promotion this week--"
P:"I was talking to the replicator. I was ordering my tea."
R:"Well, why didn't you just tell it what you wanted, instead of having a numbered preset?"
P:"Because a numbered preset is easier."
R:"But then we would still be talking about my rejected promotion, and you wouldn't have had to explain it to me."
P:"Would you like to be demoted to Number Two?"