This is partially motivated by the fact that I consider continuity of consciousness to be an illusion in any case - yes, there might be a person tomorrow who remembers thinking the thoughts of me today, but that's a different person from the one typing these words now.

Interesting. That thought process is how I made a case for cryonics to a friend recently. Their objection was that they didn't think it would be them, and I countered with the fact that the you of tomorrow isn't really the same as the you of today...and yet you still want to live till tomorrow.