Sid, anyone knows the probability remains the same in your example.
Either you will get a Puncture or you will not. 50/50 old boy.
Now the better question is whether the Authority would allow you to make the trip at all using a Unicycle or would they require at least a Bicycle?
That is the analogous argument for you to ponder as it in the same vein of thought as the topic of this thread.
Ask yourself why the US FAA does not have the same standard as does the UK?
Why is that?
Results of a Safety Analysis?
Result of Political issues?
Result of Cultural differences re Aviation between Americans and Brits?
Give us the British view of things as compared to the American way.