It is a hidden track exactly because it is sneakily added to the end of another track without mentioning it
The recording definitely should be updated to show both track titles. Whether the track listing should be updated seems to be still a matter of debate, or at least it started to get debated. As far as I’m concerned I think we once had a consensus to list hidden tracks and in my experience this is how it is handled most of the time. But others disagree.