I had a similar argument with a friend, and I think he won that time. It came out of left field and rephrases the whole thought experiment.
Instead of me defending the argument, how would you interpret a clone incident? Would you get 'the other feed' as well? We have the sleep cycle where we don't actively get input (even though our conciousness is present during dreams to a certain extent). So if a transporter clone incident rebuilds the person on the other side, but an original instant could go on experiencing a life that wouldn't be if the transporter functioned correctly.
Hopefully that took the soul out of your argument!