Lightly butter a 9 x 13-inch glass baking dish; set aside.
Put the 14.3 oz package vanilla sandwich cookies in a food processor and pulse until they are fine, even crumbs (about 2½ cups). (If you don’t have a food processor, place cookies in a heavy-duty zip-top bag and crush with a rolling pin.)
Pour the cookie crumbs into a bowl, add the 1/3 cup melted and cooled salted butter, and stir or pulse until the crumbs are evenly moistened.
Press the cookie-butter mixture firmly and evenly into the bottom of the prepared baking dish. Place the dish in the freezer for 10 minutes.
In a large bowl, beat the 8 oz softened cream cheese, 3/4 cup granulated sugar, and 2 tsp vanilla extract until smooth and creamy. Add about 1 cup of the defrosted whipped topping and beat until fully combined.
Spread the cream cheese mixture evenly over the chilled cookie crust. Return the dish to the freezer for 10 minutes.
In a separate bowl, whisk together both packages of cheesecake instant pudding mix and the 3 cups whole milk until the mixture begins to thicken (about 1–2 minutes). Stir in about 1/2 cup of the defrosted whipped topping until smooth.
Spread the pudding mixture evenly over the chilled cream cheese layer. Chill in the refrigerator about 30 minutes, or until the pudding layer is set.
Pour both 21 oz cans of cherry pie filling over the chilled pudding layer and spread gently so the cherries stay on top of the pudding.
Gently spread the remaining defrosted whipped topping over the cherries. Sprinkle the 1 cup chopped pecans over the top.
Chill the assembled dessert in the refrigerator 1 to 2 hours before serving (longer chilling will produce firmer slices).