I've read that pilots sometimes remark that their focus is on saving their own asses, and if they do that, the passengers will be fine.
I'm 100% with you on the desire to not have ground-link control (and, for me, to keep two crew in Part 121 operations); I just figured I'd estimate the math.
I would not count the four flights in 2001, personally. Those are not suicide by flight personnel.
If you look at an average of say 25m flights per year since the year 2000, then you would have about 550mm flights. Even if you include the 4 tragic flights of 9/11 in the numerator, my 7 nines are very conservative.
I think CAT III C ILS have the lowest (theoretical) minimums at 0/0, although I don’t think that designation is actually used; so let’s just say CAT III in general has the lowest minimums.