Lottocracy and epistocracy have received deeply insightful attention as political regimes. Herein, by conducting an experiment using an online survey, we explored the extent to which public opinion is receptive to political decisions under various regimes regarding two environmental policies: education policy and environmental tax policy. By doing so, we examined whether the presence of tax burdens affected the acceptability of political regimes, i.e., electoral democracy, lottocracy, and epistocracy. Our results revealed that decisions based on lottocracy and epistocracy were significantly less acceptable than those based on electoral democracy. Nevertheless, lottocratic and epistocratic decisions were more acceptable regarding the issue of environmental tax policy. The difference was mainly attributed to people's rejection of environmental tax policy offsetting their rejection of lottocracy and epistocracy. This suggests, first, that decisions based on electoral democracy increase policies' acceptability if they do not involve taxation, and second, that the status of whether or not a decision is electoral does not significantly affect policy acceptability if taxation is involved, whereas on the other hand, people are sensitive to differences between the regimes if the policy does not involve taxation.