This study highlights the importance of understanding the biases and perspectives inherent in large-scale language models (LLMs), as organizations increasingly rely on AI systems for sustainability-related decision-making. We systematically examined how five cutting-edge LLMs (Claude, DeepSeek, GPT, LLaMA, and Mistral) conceptualize sustainability and engage with AI. We administered a validated psychometric questionnaire to each model 100 times to identify response patterns and variability. GPT exhibited skepticism about the compatibility of AI and sustainability, while LLaMA demonstrated extreme technological optimism, achieving perfect scores on several Sustainable Development Goals (SDGs). Furthermore, each model attributed institutional responsibility for integrating AI and sustainability differently.