What the evidence says
The sources on this page do not compare countries. They are one review, Carattini (2018), which draws on Swiss and British Columbian evidence. The page therefore cannot say how acceptance of carbon tax rebates differs across countries. That absence is a result.
The review describes a distributional mechanism. Low-income households tend to spend less, in absolute terms, on energy than high-income households. A carbon tax paired with lump-sum transfers is therefore likely to be progressive, and low-income households are likely to receive more in compensation than the cost increase they suffer. This is a descriptive argument about revenue-neutral designs, not a measured outcome.
On acceptability, the review reports that the literature finds a positive relationship between progressivity and acceptability, everything else equal. It attributes this to people valuing tax schemes seen as fair that create a lighter burden for low-income households. The evidence is associational. The direction is well established across studies, but the size varies by context and framing.
A Swiss choice experiment with a representative sample of 1,200 voters found that respondents ranked lump-sum transfers and social cushioning as the most favored revenue recycling options. Respondents had been given information on the distributional effects of each design. The review infers that this information let people see the favorable distributional properties of lump-sum transfers, which may not be evident to the general public. The review states this as an inference from the study design. It does not report a direct causal test. How far the result generalizes beyond this setting is unclear.
In British Columbia, poll data show that public support for the carbon tax grew from relatively low support to moderate support. It passed 50% in 2011, three years after the tax was implemented, despite a threefold increase in the tax rate in seven years. These poll data cannot isolate which design features, including rebates, drove the increase.