From what I understand about when these types of slaughtering rules are proposed in Europe they also would ban kosher slaughtering. I believe both kosher and halal meat must be from a conscious animal slaughtered by cutting its throat.
In Europe it does, which has caused an something of an alliance to form between Jews and Muslims; after all, you ban one, you ban the other. And you’re correct, it has to be from a conscious animal slaughtered by cutting the throat in both kosher and halal.