Can I see what Trailwise remembers about me?

Yes. Settings > Trailwise opens on Memory, which lists every fact Trailwise has kept about you, with the date each one was last written. It is a read-only list today: you can see it, but you cannot edit or forget an individual fact from there. The switch that decides whether Trailwise keeps a memory at all sits on the Trailwise settings page this one links to.