Technically they are seeing the weather there as it happened 120 years ago so its not a very good forecast either.
According to my calculations, in the time it takes us to see the weather on that exoplanet, the weather in Boston, Massachusetts has changed states 2.1e7 times. I leave it as an exercise for the non-native readers to back-extrapolate how shifty it gets here. You may round to the nearest minute.