I would agree with you, but that'd be the first time I've ever heard that called ConEmu. It's much more likely to be called the Windows command shell, Windows command prompt or cmd. As you're clearly already aware, ConEmu is a specific product that provides an enhanced command line experience on Windows.
FWIW, `cmd.exe` is both, the shell and the console. It is not a terminal (not designed to be operated remotely) nor is it emulating a terminal of any kind.
As for the parent poster, they must be abusing the term `ConEmu`, a completely separate console program that can run win32 programs (including `cmd.exe`).
If it helps futher square some of the linguistics digressions the parts of cmd.exe that are the console emulator are typically referred to as the ConHost. The ConHost's console emulation is indeed not quite as great a lot of people would like, which is why many Windows users use a different console emulator named ConEmu. Obviously abbreviating the ability of ConHost's console emulation to conemu rather than spell out "console emulation" causes confusion with the ConEmu tool for Windows.