Exactly, not only for the color space but also for the ICC profile if the printer provides/specifies one (and they should).
And while poking into this topic on the web, I had a
D'oh! moment when someone pointed out that most modern inkjet printers beyond the basic models use more inks than just CMYK. My Canon Pro-10, for example, uses 9 inks (plus a gloss optimizer), adding Photo Cyan, Photo Magenta, Red, and Gray to the mix, and having Photo Black and Matte Black in place of the single K. Some Epson printers added orange and green in place of the Canon's red.
In other words, the inkjet printer is doing some internal conversions to employ all these inks, regardless of whether you send RGB or CMYK. There's no escaping it.
In printing digital images (especially non-photographic ones -- think
zenjenny or
ImageArt or
Starzee -- on inkjet printers, I've found the most difficult problem is that so much of the color may lay outside the range of colors the printer can reproduce. So the challenge becomes adjusting the image so that all colors are printable while maintaining the look of the original. It'll drive you crazy, not to mention using up a lot of ink and paper.