Well.... I would strongly advise getting a wx report elsewhere when you're that far out and waiting until a bit closer 'til you check the ATIS. I say this for a very good reason - you simply would not believe the number of crews which have gone for the wrong runway at Heathrow after the pm alternation. We have long put this down to them checking the ATIS when they're 200 miles out, basing their briefings on the runwat given on the broadcast and then not assimilating anything else they hear about the new runway. It doesn't happen quite so often nowadays since we started putting an alternation "warning" on the ATIS broadcast before the changeover.. (It did happen just last week, though, with an LHR based operator!)
Incidentally ATC also suffers from frequency congestion. One or two very hot radar frequencies round here are tower frequencies at quieter places elsewhere. Often - contrary to AIP recommendations - we get crews calling those places from ten thousand miles from touchdown asking for the weather... meanwhile two 747s are hurtling towards each other and the little window in the side of my head which reads my age is going round like a turbo fruit machine....