Preheat oven to 375°F (190°C). Line a large rimmed baking sheet with foil.
In a medium bowl, toss together strawberries and sugar (1 tablespoon/12 grams for 6-inch, 2 tablespoons/24 grams for 9-inch, ¼ cup/50 grams for 12-inch, or 1 tablespoon/12 grams for sheet cake) until combined. Spread in a single layer on prepared pan.
Bake until berries are very soft, dark in color, and fragrant and juices have thickened, 30 to 45 minutes, stirring every 15 minutes. Let cool completely on pan. Roughly chop strawberries to ensure no large pieces remain.
In the bowl of a stand mixer fitted with the whisk attachment, beat cream cheese and remaining sugar (¼ cup/50 grams for 6-inch, ½ cup/100 grams for 9-inch, 1 cup/200 grams for 12-inch, or ½ cup/100 grams for sheet cake) at medium speed until smooth, about 2 minutes, stopping to scrape bottom and sides of bowl. With mixer on low speed, slowly add cold cream. Thoroughly scrape bottom and sides of bowl; add vanilla. Slowly increase mixer speed to high, beating until stiff peaks form, about 1 minute. Gently fold in roasted strawberries. Use immediately.