While cake specifically refers to baked doughs, the term has been extended to include any sort of rounded *thing* (e.g. urinal cake. Unsavory example, but first that came to mind). And a cheesecake is a round, flat thing, often served with dessert, so the description as a cake is sound.
Pie’s typically have a pastry crust whereas cheesecakes have a cookie or graham cracker crust.
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