I think the key point in my theory is that my brain simply hasn't evolved to intuitively conceptualize it. I've asked similar questions before, including what it's like to die and be dead forever, and I can't form an intuitive understanding of it. My brain rejects the premise. But just because I can't imagine it doesn't mean it won't happen. I'm pretty sure I will still be dead for trillions of years into the future.

To your question, the answer is similar. If we remove this limitation of intuition, there doesn't seem to be a real paradox. Both you and a spreadsheet-like copy of you would each claim to be the real you, and from an outside observer's perspective, there is no contradiction.