Welcome aboard, Jules!
Your analysis is correct. The bad news of this is that with your current printer and inks, you will not be able to produce salt prints that exhibit a full range of tones between dmax and paper white, so you'll have to compromise.
You could experiment with overlaying two or more negatives, but this will affect sharpness in the print, and it's just a chore to begin with.
If you happen to like alt. processes like salt prints and decide to stick with it, I'd recommend at some point to move to a different way of making negatives. Either purchase a more suitable (pigment) printer, convert your current printer by using more suitable inks (e.g. UV blocking inks made for screen printing applications) or explore silver gelatin negatives (large format camera or enlarged small format negatives to large format film).