Thanks Dave , good info. I must have misread the schematic I thought the crank sensor sends a rpm signal to the ECU which sends it to the KLIMA which then sends it to the Fuel Pump relay which turns on the fuel pump when it receives the signal during starting.

To answer your question, I did pull the klima relay while it was running with the fuel pump pins jumpered and the car remained running. I was surprised to find the car would run with both relays out.