I don't know anything regarding cell death increasing the tumor marker but I do know that my mom (who gets her tumor marker checked regularly at her local cancer center in Tuscaloosa and the much larger cancer center at UAB in Birmingham) has giant discrepancies in her CA 19-9 results between the two labs. During the same week, one lab showed it was 1200 and the other at 400. I just wanted to point out how irregular and somewhat unreliable these numbers can be (and the two labs actually continue to show very different values each time she goes). We do think her tumor marker numbers are relevant, yet we try not to put too much stock in it, if that makes any sense.
All the best for your appointment!