While that can happen, and I have seen the evidence, it is not the only problem with these motors.
Trust me, the pump has PLENTY of suction.
List of problems I have found with this motor. Some are personal, you decide:
The oil passages are too small, combined with poor maintenance, allows them to clog easily. Old oil leads to this as well. High detergent oil could help.
Another problem with this motor is vibration, leading to a lot of the end results.
2 Peice pan... Disaster waiting to happen, not just because of what you mention, but gives two failure points in the pan. Also you cannot notice missing bolts, which is the root of another problem here, see the next entry.
Bolt falls out, pan gets bumped and pushes bolt through the intake screen. Anything in said pan is then sucked into the oil pump shelling said pump. I know of at least 2 cars and possibly a third that this has hapenned to. Mine was one, and is documented here. Bmwman91 also had similar happen.
Bolts also fall out and allow the pan gasket to shift, cutting of flow entirely by blocking the pump and allowing an air hole. Febi had this happen to him. This was well documented on this site.
Another problem is the pump and housing setup. The pump in on the rear of the housing, meaning you have to deal with taking apart a huge portion of the motor to access it. It also has a VERY fragile aluminum housing, which happens to cost a small fortune. It takes a long time to replace the oil pump. On a Chevy, it is a 10 minute job on some cars.
Profile gasket... We all know this one. Bad part is, to replace a pump, due to the above situations, you have to mess with the dreaded profile gasket.
Motor assembly itself. Pull the oil pump you will see what I mean. Not only is it like a jigsaw puzzle, but getting multiple edges to line up properly so gaskets seal properly, is a total pain in the ass. Good luck getting this thing oil tight after pulling it apart.
Setting cam timing. Seems easy enough, except that there is enough slack to be off by a tooth.
Typical German engineering, great ideas, poor execution.