Make jam: Cook strawberries, lemon juice, and 1/3 cup sugar in a saucepan. Add cornstarch slurry and thicken. Cool completely.
Make dough: Mix warm milk, yeast, and sugar. Add butter, eggs, salt, and flour. Knead until smooth.
Rise: Let dough rise in a warm place for 1 hour or until doubled.
Assemble: Roll dough into a rectangle, spread with cold jam, cut into strips, and roll up.
Second Rise & Bake: Let rolls rise 30 mins. Bake at 350°F (175°C) for 25-30 minutes.
Glaze: Whisk cream cheese, butter, powdered sugar, and lemon zest. Spread over warm rolls.
