[egads]

I don't think the way the keyless starting works is exclusive to Honda. I know my daughter's Kia & Hyundai are exactly the same. If the fob has a dead battery (won't unlock the doors for instance) the instructions say to use the key to open the door and then hold the fob next to the start/stop button. I even think it says to use the fob to push the button.

 

[egads]

No matter when, the immobilizer did and does require dealer programming. Only the keyless entry was user programmable. My comments above apply to the keyless starting your 2013 doesn't have.

Hopefully for that $100. You got another key programmed as well. You don't want an immobilizer equipped vehicle with only one key. Lose that an that $100. Is going seem cheap!