The rapid integration of generative artificial intelligence (AI) tools into higher education has intensified conversations regarding usefulness, ethical alignment, and responsible engagement. Unlike traditional technology acceptance studies that focus on initial use, this study examines AI use intensity among active university users. Building on an extended Technology Acceptance Model (TAM), the model incorporates AI-Alignment Construct, reliance-based trust in AI outputs, and normative alignment within academic contexts. Data were collected from 637 university students and analyzed using variance-based structural equation modeling. The results indicate that perceived usefulness remains the strongest predictor of AI use. Furthermore, reliance-based trust and AI-Alignment Construct demonstrate statistically significant correlations with engagement, whereas moderation hypotheses were not supported.