Intake manifold pressure has no bearing on fuel pressure as long as the pump and FPR can maintain the required fuel pressure for the injectors maximum opening durations. AIUI.
No. The main reason for the FPR is to try and maintain a constant pressure differential across the fuel injectors.
There is an air pipe from the middle of the FPR body to some point on the plenium/manifold. This pipe applies manifold pressure to a bellows inside the FPR, and that bellows modifies the fuel pressure setting of the FPR. The usual setting of fuel pressure is 3 bar above manifold pressure.
Take for example a turbo car which runs up to 2.5 bar of boost. At tickover/overrun, it'll be sucking perhaps 0.9bar of vacuum. Assuming atmospheric pressure is 1bar, then we have +0.1bar of absolute air pressure in the inlet manifold. If the fuel pressure were a constant 3 bar absolute, then when the injectors open you would have 2.9bar of pressure difference over the injector forcing the fuel through into the manifold/cylinder.
Then giving it some wellie, boosting to atmospheric+2.5 bar, so 3.5 bar absolute pressure in the manifold. If the fuel pressure remained at a constant 3 bar absolute, then when the injectors opened the fuel wouldn't go into the manifold - the manifold air would go into the fuel tank!
Sure you could raise fuel pressure to a constant (say) 4 bar. But that would give you 3.9bar over the injectors at tickover, and only 0.5 bar over the injectors at full boost. It's a nightmare to map the fuel flow through an injector if you can't assume a constant fuel pressure differential across it. So what you actually do is put a FPR in which regulates the fuel rail pressure to manifold pressure + 3bar. On a turbo car, that means fuel rail pressure may need to be 5.5 bar, and therefore fuel pump pressure 7-9 bar.
On a normally aspirated engine - like the Omega - the same rules apply. Minimum manifold pressure will be 0.1 bar absolute, but maximum pressure will rarely exceed atmospheric 1 bar. (Except for very highly tuned engines which use resonance in the inlet manifold). So with a manifold pressure from 0.1 to 1bar absolute, and a typical 3 bar FPR, fuel pressure in the rail will vary from 3.1bar absolute at high manifold vacuum (tickover/overrun) to 4.0 bar absolute at WOT/Stalled.