Franco;
You are right, the default state is not the Wired-OR mode, so you shouldn't need a pull up resistor.
One thing you can double check is if the digital lines are connected to a external device that might need a higher current than the digital lines can source. If that is the case, the voltage will drop to try to compensate that fact.
Otherwise, if that is not the case, the board is probably defective.
Hope this helps.
Filipe