Those two pieces of junk in the photo are what is specified in the parts catalogs. I highly recommend installing your glass bowl pump before you begin your engine break-in run. You don't want to be fooling with the fuel pump after you've finished the restoration.
The pump you have installed is CRAP! There are numerous people on this forum who have had the same experiences as me with the Chinese made garbage pumps. Brand doesn't matter. They all come from the same factories in China.
Problems range from not working at all, too high pump pressure, weak pressure, torn diaphragm, improperly installed lever arms, lever arms with incorrect throw, etc.
These problems are not unique to Chevy Stovebolt fuel pumps. I've had the same problems with new Ford and Cadillac mechanical pumps.
This pump was crudded up with ethanol and still worked better than the new ones. I had Then and Now rebuild it and it's got 10,000 miles on it now.
1950 Chevrolet 3100 (Ol' Roy)
1939 Packard Standard Eight Coupe (The Phantom) | 1956 Cadillac Coupe de Ville (The Bismarck) | 1964 Ford Galaxie 500 coupe |1966 Ford Mustang (Little Red) | 1969 Pontiac GTO (The Dishpit) I 1979 Ford F-100 | 1976 Ford F-150 (Big Red) | 1995 Ford F-150 (Newt)