If you believe that the FA-effect exists in theorie than you should also acknowledge that it can possibly be exploited in practice.
I admit that in our example with 8 decks from the start and a cut-off of 1.5 decks this effect is rather limited and that's why I'm dismissing ET Fan's proposal.But it's still enough to give you a slight edge in the last deck of the shoe at TC+1.
PS. I don't know what you mean with your 2166 postal. Is that your FIDE-rating? Mine is 2354.
I have never played a correspondance game in my life. I have always felt that it would take up too much of my time and nowadays with the use of computers, it isn't a fair contest anymore.