That doesn't mean they should have to pay more than anyone else. If they do, you need to logically prove that. That's what it means when you make reference to rational and reasonable. It means that you can't make unproven logical leaps like that.
The other claim is that security had a basic expense that doesn't change, no matter the worth of what is protected.
Plus, the rich folks can just say, "I will hire my own security to protect my stuff. Why should I pay to guard your stuff?
That doesn't even take into consideration actual cost of burden of poor compared to the self sufficiency of the rich, per public school vss private, welfare, medical costs passed on to society...
You have too much left people the bone to just cheat the argument like you have. You're actually arguing more toward guarantee of outcome as opposed to fairness of resources.
Knock us out. Prove "fair" share.