It is sort of true that different aircraft/airlines are more equipped for weather. In such a way that when visibility is reduced (by heavy rain, fog etc), aircraft will be able to use autoland down to different 'minima' depending on a) what equipment the aircraft has b) what level the crew are trained to and c) what level of equipment the airport has. In the UK, America and Asia almost all large aircraft such as A330 and above are fitted with the very highest level of equipment wheras many of the smaller aircraft turboprops and small jets don't bother, because of the cost implications and it's much easier to foresee 1-3 hrs ahead and cancel or divert.
That being said, in the Philippines, despite the occasional failure of equipment due to age, they tend to be very good at slotting aircraft in between the typhoons except for a small period of time when its out of limits.