Interesting. I never trust Inkjects with colour profiles.
All colour printers have coloor bias and that is why ICC profile were are important to photographers (more than Designers).
As FreeHand exports both RGB and CMYK and Spot Colour it is safe to say that it must keep whetever profile you import (say from Photoshop) unaltered. From a visual point of view 'on screen' anything other than RGB looks awful and alters the monitor colour display (but may however print out perfectly well on a laser (import a CMYK PDF and you can see this yourself). Spot colours are maintained only if you export as 'eps', into another progrem that recognise 'spot colours' i.e. not Microsoft word but say Quark. Quark will 'pass on' any ICC profile and does not alter an import graphic or picture ICC profile.
Many things can alter any ICC profile outside the program. Ink density, Paper type and wether the imported image had the 'correct' profile for the printing device. In my experience most of this is simply ignored outside Publishing when consistancy is most important. An ICC profile imported into FreeHand is unaltered in my experience although how Freehand manages to export both RGB and CMYK without obvious colour shift will only work in Spot colour mode. I cannot see it converting an RGB image into CMYK with any great sucess (if at all).