A large body of research has highlighted the impact of culture on cognitive, affective and motivational phenomena associated with education and the transmission of knowledge in general. Consequently, the development of culturally-aware educational technologies, capable of understanding and adapting to learners’ cultural specificities, is a highly relevant objective for the AIED community, as it would contribute to globalizing technologies developed mainly in the West and optimizing learning interactions for greater equity in access to knowledge and training. Inspired by recent publications dealing with emerging psychological or personality aspects in LLM-based chatbot responses, this paper investigates the notion of cultural intelligence in commercial chatbots and assesses whether it is possible to evaluate their cultural intelligence using existing techniques. Results show that commercial chatbots’ responses frequently incorporate cultural awareness in their response, while at the same time manifesting inconsistency in their cultural personality. A reflection is then provided on implications of these results for future AIED work involving LLMs.