Your strawberry Twizzlers have no licorice in them. The list is corn syrup, wheat flour, sugar and cornstarch, then palm oil, salt, artificial flavor, citric acid, mineral oil, Red 40 and soy lecithin at 2% or less. Hershey says it themselves. The strawberry and cherry ones don't have licorice extract, which is why they get called licorice type candy.
The black ones do have it, and it still isn't much. Black licorice Twizzlers are the same corn syrup, wheat flour, sugar and cornstarch, with licorice extract listed in the 2% or less group. Strawberry is 70% of the Twists Hershey makes in a year.
Licorice extract comes from the root of the licorice plant, and the sweet compound in it is glycyrrhizin. FDA warns that if you're 40 or older, eating 2 ounces of black licorice a day for at least 2 weeks could drop your potassium and cause an irregular heart rhythm. FDA also says a lot of licorice candy made in the US has no licorice in it at all. It uses anise oil, which smells and tastes the same.