Unless the engine is running above idle speed and fully warmed up, a dribble is all you're likely to get. The "oil distributor" we're discussing is the roughly triangle-shaped part near the oil pan rail on the carburetor side of the engine. Its function is to restrict oil flow to the top of the engine until sufficient oil flow and pressure is present to assure the connecting rods, main bearings, and cam bearings get lubricated. The copper line that is attached to the oil distributor goes through the water jacket at an angle and ends up under the pushrod cover. You will destroy the line if you try to remove it. Fortunately, there is a replacement kit available if you discover that the line is restricted.
Try disconnecting, or at least loosening the line at the oil distributor and run the engine to see if there is sufficient flow there. You'll probably have to speed the engine up a little to get a good idea if there's enough volume. It's possible the line is restricted with sludge and will have to be replaced.
Jerry