The button shown below - which resides in the Standard and Object snap toolbars - has for wording “Show Object Snap toolbar”. However, what it shows/hides is not the object snap toolbar, but the object snap control - that is not a toolbar. The object snap toolbar does indeed exist, but it is not the same thing, so the tooltip references the wrong object.
Edit: I was thinking about this while I was out walking today and what the object snap control should be called is the Object Snap Filter. It acts and looks like the Selection Filter, and in a way, it filters what object snaps are active and accessible. Anyway, just a thought.