A CO2 tax and rebate is progressive. The poorest people would receive more back in a rebate than they pay. But the biggest CO2 users would pay way more than they receive back.
Which rarely happens in practice, and we're so far from accurately taxing all these processes that it isn't even a dream of a dream. It's mostly tackling big targets, since that's where a ton of the impact-per-dollar-and-per-outrage can be found.
The statement replied to does not mention "rebate."
> But the biggest CO2 users would pay way more than they receive back.
This statement does not seem believable given the recent stories about tax avoidance strategies of the wealthy.