The councils update the Naptan data pretty frequently, so this sort of thing should not be very common. Of course it is though as bus companies can change what stops are named "in the background" to appear on duty boards/public timetables... and then forgotten about when a changes occurs locally.
The most common I find is where a Post Office has closed down, but the stop name is still called 'xxxx PO". Same with Public Houses.
The same can happen in reverse of course. A bus operator can know of a change locally before the council, amend the names on timetables etc, inform the council of what has changed and then wait a couple of months for the Naptan stop name to be changed, so it appears on Google etc correctly.