During the day, I am just putting everything in the shared stash and then deciding who should get what. To be honest, I am ignoring all of the 'semi co-op' stuff as it seems out of place when you are playing fully co-op. I am even just deciding who is best being first player and not bothering with the 'auction' for it.
Agreed , the group can decide how they want to play , Full or Semi co-op or even verses (which may need a bigger tile layout.
The question I was asking is the wording makes it sound like each player takes a card. It doesn't say that you continue drafting cards until they are all taken.