Combine the chopped strawberries, 1/4 cup granulated sugar, and lemon juice in a small saucepan and set over medium heat.
Cook the strawberries, stirring often, for 8 to 10 minutes until thickened, glossy, and jammy and the mixture lightly coats the back of a spoon.
Remove the strawberry mixture from the heat, blend with an immersion blender or in a regular blender until smooth, then transfer to a bowl and refrigerate until completely cool and thickened.
In a large mixing bowl, whisk together the flour, 1/2 cup granulated sugar, salt, and instant dry yeast.
Add the warm milk, egg, and 1/2 cup softened butter to the dry ingredients and stir with a wooden spoon or dough hook until a shaggy dough forms.
Knead the dough by hand on a lightly floured surface or with a stand mixer on medium speed for 5 to 7 minutes until it is smooth, stretchy, and slightly tacky but not sticky.
Lightly grease a large bowl with butter or nonstick spray, place the dough in the bowl, turn it once to coat, cover with plastic wrap or a clean towel, and let rise in a warm place for 1 to 2 hours until doubled in size.
Grease a 9 by 13 inch baking dish with butter or nonstick spray and set aside.
Punch down the risen dough gently to deflate it, then turn it out onto a lightly floured surface.
Roll the dough into a large rectangle about 12 by 18 inches with an even thickness.
Reserve 1/4 cup of the chilled strawberry puree for the glaze, then spread the remaining strawberry filling evenly over the dough, leaving a 1/2 inch border along one long edge.
Starting from the long edge opposite the bare border, roll the dough up tightly into a log, pinching along the seam to seal.
Use a sharp knife or unflavored dental floss to slice the log into 12 even rolls.
Arrange the rolls, cut side up, in the prepared baking dish with slight space between each roll.
Cover the dish loosely and let the rolls rise in a warm place for 30 to 60 minutes until puffy and touching.
Preheat the oven to 350°F while the rolls finish their second rise.
Bake the rolls for 20 to 25 minutes until lightly golden on top and the centers are cooked through.
Let the rolls cool in the pan on a wire rack for about 10 to 15 minutes while you prepare the glaze.
In a medium bowl, beat the softened cream cheese and 1/4 cup softened butter together with a hand mixer until smooth and creamy.
Add the powdered sugar and vanilla bean paste to the bowl and beat until thick, smooth, and fully combined.
Add the reserved 1/4 cup strawberry puree and beat again until the glaze is smooth and pourable.
Spread or drizzle the strawberry cream cheese glaze generously over the warm rolls.
Serve the strawberry cinnamon rolls warm or at room temperature.