Having flown aero med. for a few years (a few years ago), I feel the condition of the patient should have no bearing on the flight.
Whether it be a broken toe or a heart attack, the weather condtions, LSALT etc. don't change.
You can either go or not.
Having left that type of flying a few years ago I believe some operators refrain from telling the pilots the condition of the patient to avoid pressuring them into the flight.
I know a few pilots who have paid the price for pressing on.
" there are bold pilots and there are old pilots but no old, bold pilots "