there is a difference between randomness and probability though?
Yes, but I don't think an important one here.
If the cumulative threshold is 100, and player actions put in net 7-12 each day after the previous event has recovered, then we'd see what we see in Colonia, with no randomness or probability beyond "what are the chances that players choose to do these actions and not those actions".
Equally it
could be a process where after a much lower threshold is reached the state has a 10% chance of occurring each day after that ... but I don't think that's necessary to fit the observations (and doesn't fit in with the
much more regular recurrence pattern of Pirate Attack for Jaques before the extra states were added in 3.6)
and probability would match fdevs description of making something more likely to happen.
Yes, but it would also match a description of a threshold process.
If you have a threshold of 100, and some actions are -1 and some actions are +1, then taking a +1 action increases the chances of the event occurring in future, given that you don't know what everyone else is doing / will be doing.