It should not be necessary to keep re-calibrating, nor to put up with repeated false alarms. Personally, I would get the dealer to check it under warranty, that should bowl out whether there is a system fault.
Assuming the dealer reports no fault, then there must be something causing the system to detect differing rotational speeds, which it interprets as different tyre pressures. Some random ideas:
1. There are a couple of queries on Honest John that seem relevant:
https://www.honestjohn.co.uk/askhj/answer/59369/tyre-deflation-warning-system-malfunctionhttps://www.honestjohn.co.uk/askhj/answer/69714/honda-jazz-tyre-deflation-system---is-there-a-problem-In both cases the suggestion is that there might be a slight unevenness between tyre pressures so that one of them triggers the alarm when it gets hot at speed. He seems confident that trial-and-error adjustment of pressures ought to fix it (which introduces the interesting question of how accurate is the pressure gauge you're using ?).
2. Could there be something about one wheel that causes it to heat up (or cool down) at speed more than the others ? Would a brake pad that doesn't quite lift clear of the disc do that ?
3. Would a slight wheel imbalance affect the rotational speed so as to trigger the alarm ?
I have no reason to think that any of these is the likely cause, just suggesting that if the system is working correctly then it is probably genuinely detecting some lack of symmetry between the wheels, your problem is finding it.