I too am completely unmotivated and uninterested in college. I feel like I'm wasting my time by going. Anyway, it's good that you're taking advantage of the psychologist (since they're "free"). Hopefully they're helping you one way or another.

And you're not faking it. If you were faking it you wouldn't be going through all these efforts to help yourself (and anyway, this is a common thought process among neurodivergents). Your family unfortunately just doesn't understand mental health issues.