“I don’t care about the product” isn’t the same as “i only care about money here.”
I couldn’t really feel any personal excitement about the product i worked on for my first 4 years out of college. It is kind of difficult to feel personal excitement about a product whose customers are all just enterprises of various sizes, and the product was for managing their internal docs/storage/admin stuff/etc. with tons of legacy stuff on top.
However, I deeply cared about the quality of the work I produced for it, about what customers said and feedback they provided (and I acted on it), and the architecture of the product/health of the codebase.
Of course, you shouldn’t tell the interviewer that you don’t care about the product. That’s just weird and feels borderline antisocial. How can you even claim you don’t care about the product, unless you closely worked with it and know enough about it to feel excited.
I think it is pretty common in general to not be super into something unless you are exposed enough to it. I can definitely say it holds true for me for music, for example. Some of my most favorite current artists were initially not even something i was into even slightly, upon the first few listens.