Maybe I'm just dense but how does that invalidate parent's point? Based on what you are saying (difference in trip length), it appears that fatalities per mile actually does a better job (than fatalities per trip) at representing the relative safety of different classes of vehicles...
That said walking is very dangerous per mile, but cars get a lot more miles on them.
If you're in a place where everyone drives a moped or bicycle and cars are rare, then mopeds are a lot safer. Stick the moped in traffic surrounded by clueless SUV drivers and now the moped is a death-trap.
Go to a place where everyone rides a bicycle and there's no cars and I guarantee the fatality-per-mile rate is ridiculously low. See downtown Copenhagen for example.