> We all get the same services from the state.

I agree with your intuition, but this is often contested based on the idea that one of the state's services is protecting property, which scales up in cost in some way with the amount of property.

For example, if you have a 10-story building, the cost of protecting it against fire is greater than the cost of protecting a small shack against fire (the kinds of fires it can be involved in and the means of accessing it to fight them are greater).

Or, if you have valuable jewels, the cost of protecting them against theft is greater than the cost of protecting a few items of clothing (more sophisticated attackers like organized crime and otherwise professional criminals may try to steal them using more sophisticated means and resources).

Or, if you own corporations, the cost of protecting your ownership interest against fraudulent transfers may be greater than the cost of protecting someone's ownership interest in a house against such fraud, again because of more sophisticated attackers and also because the rules permitting transfers of the corporate ownership interest may be more complex to formulate and apply.

However, it's likely that the cost of protecting most kinds of property scales sublinearly with the economic value of the property rather than superlinearly, so if people were merely being charged for the increased cost of actually providing them state services that they use or directly benefit from, this would still not justify tax rates increasing with wealth or with income.