Having had a MK3 and now a MK4 I think the later car seems to have ironed out most of the issues on the MK3 which, to be frank, was a bit of a nightmare. Drive at motorway speeds, it would go off, recalibrate after checking tyre pressures and it would be OK until you went on the motorway again. It went off about 5 times for no reason if I recall correctly. Agreed with dealer that the next time it went off I wouldn't recalibrate and take the car in. It never went off again!
I have had one false alarm on the MK4, recalibrated and that's been it fortunately. It's a rubbish system to be fair but my experience leads me to believe Honda might have finally got it to work properly.