Of course they’re not pas Yisroel; they’re not pas!
Are they different? I have no idea.
Let’s say, though, for instance, that whichever hechsher it is does not allow confectioners glaze (the OU does).
Someone who doesn’t eat confectioners glaze would only eat Twizzlers because of the sticker (although if he does research and determines that no Twizzlers have it, he may choose to eat it even without a sticker).