VAG Injector Pump Part Numbers for 1Z Models

Hello,

I have a question about the VAG part numbers for the fuel injection pumps used in the 1Z engine.
Are all of these the same pumps, or does the motor come with different pump options?
Can I replace a '028 130 109 H' with a '028 130 110 H' or a '028 130 115 M(X)'?
I'm having a hard time understanding it and I've heard different opinions and statements about it.
Since the engine is always the same, it should work, or does it depend on the control unit?

Thank you for your help.

So, there are (at least) two different types. They have different sensors for measuring the fuel injection amount.