Sounds like complete waste of time

You cannot get out of bark more than there is inside in the first place. You can do all sorts of tricks and fiddle with rations here and there, but in essence (provided that the pH is high enough) you can get everything out by doing more pulls and/or using a better solvent than naphtha (like xylene, toluene, limonene, DCM, diethyl ether). Addition of salt may, arguably of course, help getting the most out especially if a poor solvent like naphtha is used.

Yet, nothing beats in simplicity doing a couple of extra pulls with a stronger solvent if you think that there is more to be extracted from the basic soup.