Although, to be fair, almost nobody flying internationally will be checking notams on the morning of the flight.
What matters most is whether the airport is open / has avgas / needs PPR / etc and that is normally established by making contact, and that is normally done well in advance.
During flight, one does to a large extent rely on ATC to direct traffic according to current notams, which ATC units are believed to plot out on some kind of board each morning.