The console is the virtual terminal (VT) seen initially at boot before the desktop login starts up, or where you land if there is no desktop, and where the kernel spits its raw output. It could even be configured to be a physical serial port.
I’m using the term in a similar manner to describe the virtual terminals spawned at boot (typically 7 of them) and occupied either by a login prompt (getty) or the desktop session, and switchable with Alt-Left/Right or using the chvt command. These are analogous to the real terminals of old such as VT100 or even typewriters.
This is in contrast to what we normally call a terminal like xterm or Konsole which runs in the GUI where it is resizable, zoomable, etc. The console, and virtual terminals, are pretty limited in the interactivity they have. For instance, there’s no mouse interaction or copy-paste functionality, at least not without some exotic setup.