Well, the argument that an event with a probability of occurring of < 1E-250 cannot happen is trivially wrong IMHO.
An event with no probability of occurring has a probability of 0.
If an event's probability is >0 then it can occur, although it may be very unlikely.
Any event with a probability distribution over time T could have that distribution broken down into time intervals t where the probability of the even occurring in that time interval is less than some arbitrary value, and so by making t small enough you could demonstrate that the event could not happen.
So, if the idea of a minimum probability were true, then you could show that any event was impossible.
I'll have to go with the Bullshit camp I think.