Black body radiation is a mathematical fit to most , note* not all, data gathered from the reflection and absorption of radiation from material bodies . This is the radiation wavelength related to the temperature, the one emitted by the body under observation.
Note the wavelengths of visible light emitted from the object and the corresponding temperature of the body in the curves. Room temperature in Kelvin is 293K. So the black body radiation emitted by objects around us is not in the visible range. They will appear black or colored to the eye, according to the reflections and the incident light .
You ask:
And should a ideal black body always appear visually black or dark
It will depend on the temperature of the body, if high enough it will emit light, for example iron heated to 1000K.
*The black body curve is used for fluids and gases too, but it is an approximation, example . It is an approximation for the sun spectrum too.