How will EIP 1559 affect ETH2.0?

This might be a very dumb question but I am a bit confused as to how exactly EIP 1559 will affect ETH 2.0. From what I understand EIP 1559 will only affect miners and won't affect staking when staking is made available, EIP 1559 is just to stabilize gas prices for the time being until ETH 2.0 brings them down.

Is this the right way to think about it?