[verst]

Berliner and Pfannkuchen are very different pastries (at least in the Northwest of Germany). Pfannkuchen literally implies it is made in a pan, whereas a Berliner is typically deep fried. It often has a fruit jelly filling, but you will also find those without a filling.

I agree that no native speaker would think of the pastry when hearing "Ich bin ein Berliner." Just like I wouldn't think of a sausage if someone were to say "Ich bin ein Frankfurter."