I don't know where you have come across that useage, but it is wrong. The "Jack" is the hole and the "Plug" is what goes into it . That has been both the English and American standard since at least the First World War.
[...]That is where the terminology "Jack = socket" came from. The 'multiple' was terminated on jack strips i.e. rows of sockets.
But telephone jacks were not the 1/4" Gauge "A" type which you find on domestic audio and semi-professional gear. The switchboard jack was Gauge "B" with a smaller ball end on the plug . Not only was it easier for the telephone operator to find the hole in the jack when the end if the plug was smaller, but the contacts could not mis-mate while the plug was being pushed in.
The Gauge "B" jack is also known as a British Post Office jack, a P.O. jack or a B.B.C. jack. The plugs are sometimes known as "316 plugs" after their number in the S.T.C. catalogue
It is both English and American. A rare example of the meanings of words being the same on both sides of the pond.