On my planet that statement doesn't compute.
Well yes it's a question of semantics but at a large aerodrome "overhead" could mean a mile or two west of the aerodrome reference point to the same on the east side.
On a correctly flown standard join you don't actually fly precisely overhead the ARP or if you do you're not flying it correctly.
Even on the CAA graphic here the Overhead is in inverted commas:-
The Standard "Overhead" Join
And what we "name" things has a big impact on how the brain processes information.