I believe this is a real possibility, but I don’t believe it’s due to authoritarianism alone. The other factors Skinner pointed to are implicated as well. First, there’s a close relationship between authoritarianism and ethnocentrism, which has been observed statistically for decades. In my article discussing Skinner’s analysis, I wrote:
[E]thnocentric voters oppose spending on means-tested programs such as welfare and food stamps, which they (mistakenly) perceive as primarily benefiting minorities not like them, while supporting spending on Social Security and Medicare, which are seen quite differently as benefiting a truly deserving white middle class.