Yes! I thought something similar. What about the emergency patients? If you don't click on them to assess them within a certain time, they get up and just die on the clinic waiting room floor and it has an effect on the other waiting room patients? Maybe they all leave because they're scared? Maybe an epidemic outbreak like in Theme Hospital, where you need to inoculate all the patients as quickly as possible?
There is often a point where house takes a shot in the dark and could be very wrong and i think that there should be this option. Mabey have Wilson give tiny hints (because he always triggers house to think of the right diagnosis.). Other than that i love the game. Just my $0.02.