Here "Console" means the primary terminal.
The special /dev/console
device node usually corresponds to what the kernel thinks to be the primary console, and that usually means whichever tty is in foreground (from tty1…tty63). On embedded systems, it might be redirected to a serial port using the console=
kernel option.
Generally, in Unix, you might notice programs distinguishing between "console login" (directly at the PC) vs "remote / network login".