Most consumer CO2 detectors use a sensor which measures the IR absorption of its surroundings. These sensors have varying cross-sensitivities to a bunch of other gasses including carbon monoxide, propane, alcohol, etc. Calibrating them for CO2 will not compensate for different responses to CO, which is much more IR-absorbent in many of the same frequency bands.
Note that even the professional meters require calibration on a regular basis; for example the calibration schedule for the Fluke 975 for CO2 is yearly and for carbon monoxide is monthly.
Probably not something I'd tackle on my own, but it would be awesome if Consumer Reports or a major newspaper hired a lab to do this. With so many people working from home now, I would think it's an increasingly relevant issue.