Except consumption correlates with income and wealth, and it's already not uncommon for states to exempt necessities like food and clothing from taxation, which keeps them affordable without a convoluted bureaucratic system. Implemented correctly, consumption taxes are less regressive than property taxes, which prop up rents and constitute a barrier to home ownership for working class people.

There are arguments to be made against heavily taxing consumption to encourage economic activity, but you're oversimplifying this by disregarding the indirect costs of alternatives and looking for problems instead of solutions. Not that I think the one you commented on is a good one.