So I went to bed thinking this over, I think I found a much nicer solution.

Instead of printing the ambigram, I found a way to make it print the palindrome TENET by not only using the reversible literals trick, but having every printing opcode print a letter in both directions.

Here's my turnstile program:

1702 a018 a002 a074 a002 0417 1702 a018
a002 a065 a002 0417 1702 a018 a002 a06e
a002 a018 a002 1717 0402 a065 a002 a018
a002 1717 0402 a074 a002 a018 a002 17