I had no idea that teriyaki sauce has rice wine in it. I googled it and, yup, traditional Japanese teriyaki sauce typically has rice wine (mirin) and also sake in it.
The amount of alcohol left after the cooking and canning process is negligible and should not trigger cravings. I have cooked with rice wine for years with no cravings, nor from cooking wine or sherry.
Teriyaki is cooked down so the alcohol is almost entirely removed as this happens. It is also canned at temperature, again reducing alcohol content. Trained as a saucier, that was my primary role when I worked as a chef. You can slurp a whole case without getting the slightest buzz. You’ll explode your stomach long before.