Do the sign positive or negative of the charge affect how that charge is dissipated?

Answer 1

The dissipation of charge comes from electron flow, regardless of how it was charged. The balance of electrons (which have a negative charge) to protons (which are positively charged) determine if the charge of the object. Protons are in the nucleus and will not leave the nucleus without some sort of nuclear reaction or decay. Also, if protons leave or are added to the nucleus, the element changes. Electrons orbit the nucleus, and are much easier to get to move from one atom to another.

By rubbing two objects together, electrons can move from one of the objects to the other. If the objects are separated, then one of them has less electrons than before - this now has a net positive charge (there are more protons than electrons). The other object has a net negative charge (more electrons than protons). If a third object is touched, then the positively charged object may attract some electrons from this third object until the charge is neutralized. If the negative object touches another object, then it will give away the excess electrons so that it has a neutral charge.

In both cases it is electron flow, just the direction of flow is different.

Answer 2

No, the sign (positive or negative) of the charge does not affect how the charge is dissipated. The dissipation of charge is based on the electric potential difference between objects, not the sign of the charge itself. Charges will flow from higher potential to lower potential until equilibrium is reached.