Don't laugh too hard.....
The airport cannot control the weather; but it can control its investment into the equipment needed to enable operations in poor visibility, low cloud etc.
If it fails to do that, it's arguable that it has contributed to the diversion, for example if an aircraft (and crew) equipped for Cat 2 landings is forced to divert from a Cat 1 airport in conditions that would have been OK for Cat 2.
Over-simplified, of course, but you get the drift.
Then again, you can argue that the airline - driven by the commercial case - scheduled the airport into its programme knowing its limitations, and is thus the architect of its own misfortune.