I don't have any details about what Oregon is doing, but the concept of someone investigating why an individual is denied the right to purchase a firearm seems to be long overdue. If the person attempting to make the purchase is prohibited from owning/possessing based on criminal conviction or adjudicated mental condition, then criminal charges for attempting to purchase a firearm may be appropriate. If the denial is based on inaccurate information, then the process should be fixed and the data corrected so that the citizen can make their purchase.
I would prefer no background checks conducted by the government for the exercise of a Constitutionally guaranteed right, however, when the duly elected government institutes a system that denies citizens their right, some form of redress is necessary. If we are compelled by law to undergo background checks, then the government has a burden to enforce the law when violated and insure that the system does not violate the rights of citizens who are not in violation.
Just my $.02