I verified in the Lycoming parts catalog that there is one 1/8 pipe plug in the oil pump housing. If this were missing it would dump oil into the accy case and then into the sump.
Inside the accy case there are three additional plugs that go into the crankcase. Two of these close the aft end of the main oil galleries, one on each crankcase half.
I have seen numerous statements that the normal oil pressure fitting location reads oil pressure direct from the pump. Examining a sump this appears to be incorrect. The oil goes from the pump to the oil screen and then to the oil pressure port.
Marvel and Scott tell us that there is 8-10 psi less pressure at the forward end of the right main oil gallery. It is reasonable to believe that there is a further drop on the way to the left gallery and the main bearings. So 37 psi at the normal oil pressure connection would be 29# at the right front gallery and still less at the left gallery and front main bearing.
The green arc on the oil pressure gage is there for a very good reason. I cannot comprehend anyone believing that 37 psi in flight is acceptable. Do you have the same belief about Vne or G Limit??