Exactly. Coupled with the dividend, it is no longer regressive.
This page (https://citizensclimatelobby.org/household-impact-study/) has a nice chart showing the fees and where they come from for an average household in each income quintile in the USA. The expected fees for each quintile (under a $15/ton carbon fee) are $173, $219, $252, $292, $381. On another page on the same site, you can find that the expected dividend (which just depends on the number of adults/children in the household) is $288.
This page (https://citizensclimatelobby.org/household-impact-study/) has a nice chart showing the fees and where they come from for an average household in each income quintile in the USA. The expected fees for each quintile (under a $15/ton carbon fee) are $173, $219, $252, $292, $381. On another page on the same site, you can find that the expected dividend (which just depends on the number of adults/children in the household) is $288.