Looking at the definition of AI by the Organization for Economic and Co-operation Development (OECD):

"An AI system is a machine-based system that, for explicit or implicit objectives, infers, from the input it receives, how to generate outputs such as predictions, content, recommendations, or decisions that can influence physical or virtual environments. Different AI systems vary in their levels of autonomy and adaptiveness after deployment."

Based on this, if a language model has no explicit or implicit objectives it is not an AI.