People with money can buy lots of things which the state doesn't make available to everyone: including legal advice and choice of representation.
That's totally different to a state-funded system - specifically set up to mediate between people, so that they don't take justice into their own hands - treating one group more favourably than another.
This is much closer to complaints that race changes police action. It's not meant to, and there are all sorts of reasons you can give for why, but we know it does and it's not right. So we try to fix it.
It doesn't matter that the police say they had reason to believe that the black kid was a threat, and you can quote police process that they can act differently in that case. We see that there's a difference. And it's not right. So we try to fix it.
The wrongness of political 2-tier justice is exactly the same - and those who aren't determined to pretend it doesn't exist realise it's wrong in exactly the same way.
So we need to fix it. Not pretend that everything is perfect when it's not. That kind of pretence which supports injustice is the opposite of respecting the system.