I have used KCl and NaCl for the same purpose.  It is my understanding the the process is simply an ion-exchange whereby the Na+ or K+ ions displace the CTA+ ions from their complex with the anionic polymer and allow the polymer to dissolve in water. Thus, it depends on having a significantly higher concentration of NaCl or KCl (typically about 2M)  in order to drive the "reaction".  Since the resulting solution still contains CTAB, it must be followed by subsequent steps that will separate the CTAB from the polysaccharide. Dialysis or diafiltration MAY accomplishe this, but it takes some effort due to micelle formation by the CTAB. We have used ethanol precipitation to separate the polymer from the CTAB; multiple dissolutions and reprecipitations are usually required.