They also seem unpopular in France, see the yellow vest riots in 2018. Consumption taxes in general disproportionately affect the poor.
Poor people tend to emit quite a bit less than rich people; they buy less, ride the bus more, live in apartments or smaller houses, etc.
Maybe some “carbon allowance” would then be afforded so the lower income people that qualify could claim a deduction on their personal income tax return.
Carbon taxes need to drive a shift in planning - on the planning time horizon - for everything that emits carbon