I knew there would be arguments but yes you are very right the term ids often used for both.
Like some cheap sets only contain bottoming taps and people wonder why they break so easily.
Not because they are cheap but because of the undue strain being put on them by not using the previous two.
Lubricate you tap to cool it there is a lot of friction in this process.
Just looked at the wiki and that refers to both taps as plugs, can't win init?