Right-wing populism has an authoritarian element, but that partly arises from responding to the power of non-democratic left-wing entities. For example, even liberal California decisively rejected affirmative action when it was put to a referendum. But it’s enormously popular in non-democratic institutions (corporations, academia, media), that have a lot of cultural power. Right-wing efforts to tamp down on that are authoritarian, but not anti-democratic.

Alternatively, for example, when you poll people about the ideal level of immigration to the US, their numbers are much lower than the actual numbers. If you decided US immigration policy via direct democracy, it would be far more restrictive. But opposing immigration is also painted as anti-democratic.