Alternative news media (ANM) have become an important information source for certain audiences. Research shows that ANM usage is linked to a preference for populist parties and the use of digital media. However, ANM existed before the rise of populism and digital media over the last two decades. Thus, we must assume that additional factors are related to ANM usage. To investigate such factors, we conducted a cross-sectional online survey (N = 1,212) of the Swiss population. We analyze how affinity toward conspiracy myths, preference for populist parties, the usage of social media, and the Telegram messenger app are related to ANM usage. The results indicate that people with a high affinity toward conspiracy myths are more likely to use ANM. Different than in previous studies, preference for populist politics is not related to higher ANM usage in Switzerland. Our results suggest that the political context matters when studying ANM usage and that the strong focus on right-wing populism might lead to scholars missing part of the bigger picture. Furthermore, our findings indicate that the use of social media and Telegram, which recently gained relevance as a channel for mobilizing protests during the COVID-19 pandemic, positively connect with ANM consumption.