Crust: Heat the oven to 350°F. Stir the almond flour, allulose and salt together, then mix in the melted butter, egg and vanilla to a crumbly dough. Press evenly into a 9-inch pie dish and up the sides. Prick the base all over with a fork. Blind bake 6-8 minutes only - the barest hint of colour. It bakes again for 35 minutes later, and a fully baked crust now will be bitter by the end. Cool 10-15 minutes.
Caramel: In a large skillet or saute pan - not a saucepan, you want the surface area - melt the butter with the allulose over medium-low heat, stirring often, about 5 minutes until dark golden brown. Add the cream and salt, bring to a gentle simmer, and cook 15-20 minutes until thick, deep amber, and coating the back of a spoon. Off the heat, stir in the vanilla and maple extracts.
Cool, then add the egg: Let the caramel cool about 15 minutes until warm rather than hot - you should be able to rest a hand on the outside of the pan. Whisk the egg separately, then whisk it into the caramel. Adding egg to hot caramel scrambles it, and this is the most common way this pie goes wrong.
Assemble and bake: Scatter the chopped pecans into the crust, pour the caramel over, and arrange the pecan halves on top. Cover the crust edge with a foil ring before it goes in - allulose browns far faster than sugar and the edge will scorch otherwise. Bake at 350°F for 30-35 minutes, until the top is deep brown and the centre no longer jiggles loosely but still looks slightly wet. Do not bake to a firm dry set; an allulose filling keeps firming as it cools.
Cool and chill: Cool on a rack to room temperature, about 2 hours, then refrigerate at least 1 hour before slicing. Slice with a large chef's knife, not serrated, pressing straight down rather than sawing.