A 5270P costs over $180k retail; and it is simply unacceptable for it to be dysfunctional on day1.
Watches are usually transported by air and in protective packaging. These are not therefore susceptible to any extraordinary shocks etc.
Watches are meant to be worn day to day and are not fragile.
The bottom line is that it is a QC failure and Patek and the AD are duty bound to replace the watch; and above all accept responsibility for the QC failure.
I am glad that the watch package was opened at the AD instead of it being taken home as a safe-queen investment.
If this problem had surfaced a day later, am sure it would have become a long haul battle.
Regds