Line a tray with parchment and set the sugar cones on it.
Melt white chocolate until smooth, then brush or dip cone rims. Mix crumbs with melted butter and press onto rims. Chill to set.
Cook peaches with granulated sugar, lemon juice, cinnamon, and cornstarch over medium heat until glossy and slightly thick, 3–4 minutes. Cool completely.
Beat cream cheese with powdered sugar, vanilla, and salt until creamy.
Whip heavy cream to soft peaks, then fold into the cream cheese mixture until fluffy.
Spoon or pipe cheesecake filling into cones. Top each with cooled peach mixture and any syrup.
Serve right away, or chill 10–15 minutes to firm the filling.