NavBlue is actually headquartered in Canada, though owned by Airbus.
There is no technical requirement that an Airbus use NavBlue AIRAC data. The choice of database provider is entirely up to the individual airline.
The procedures I have seen in MSFS default data for large international airports in the US appear reasonably current and complete - but that is definitely not the case with smaller US airports. Missing approach data is bad enough, but there is no excuse for providing obsolete data.
I don’t see this as being an Asobo problem, (other than choosing unwisely in their choice of database provider). They just translate the monthly update files that NavBlue provides into BGL format for use in the sim.