Since we're focusing on ice cream, I wonder ...
... do you think CX will do it if I call the DM line ahead of time - say a week or so before my flight - and tell them that I would like - say rum raisin - instead of the usual vanilla or strawberry cheesecake they have onboard?

Kinda like book-the-ice cream (instead of book-the-cook).
On QR or AA this is problematic/unreasonable since they serve ice cream 'properly' but CX serves häagen-dazs paper cups so surely it shouldn't be too difficult for CX to do it?