I also took the same path, got the tut-tuting.
It seems to me that it's only illogical in retrospect. I don't know that there's body and brain eating viruses ravaging Mars, or that souls have to be frozen to die, and I have to make a choice about this, or what any of that means. I make that decision with only the knowledge that I have to take a ticket to Mars and that my goal, throughout, is to "stay alive."
For me, personally, it comes down to the risk of copies. While both scenarios make copies possible it seems less likely in the case where you’re simply replacing parts of my brain. I cannot imagine copies not being made in the teletransportation scenario.