Most modern batteries (SLI) are low antimony with added selenium to refine the grid grain structure and calcium/tin for grid strength/creep resistance and reduced water consumption. Carbon black and lignin are added (to the paste) to improve conduction and reduce agglomeration of the leady oxide paste and barium sulfate is included to disperse the nuclei formation of the lead sulfate. All of these combine to a small % of the leady oxide in the paste.
I haven't seen any empirical evidence of ultrasonic vibration being the actual means of desulfation. If PbSO4 is mechanically forced into sediment then the H2So4 never recovers spec. gravity and the battery will fail. Some other mechanism is at play that places the sulfate ions back into solution. Sulfate that has become sediment is lost to the electrochemical process permanently.
The Grid /paste plates of SLI batteries can be <= 1mm and loss of paste integrity is a bad thing. Shedding lead sulfate actually also sheds previously active paste material that should be returned to active lead oxides during recharge.
In deeper cycle batteries with pasted plates up to 6mm thick this 'shedding' approach will expose fresh paste and appear to rejuvenate a battery. SLI batteries cannot tolerate much of that at all. Thus EDTA and other sequestration type approaches WILL work on thicker plate batteries while simultaneously degrading their total capacity. Thus such approaches are of limited usefulness. Repeated or excess doses will destroy a battery.
My tests seem to indicate that it is a combination of controlled heat and voltage that provides the energy to drive the stable sulfate back into ionic solution. Lead sulfate is inherently a passivating material and if it develops stable crystal growth the insulating islands of hard sulfate diminishes plate area and eventually 'shrinks' the battery's capacity. Once the physical micro geometry of the paste is compromised and its pores are filled with stable lead sulfate we have a failed cell.
Since lead sulfate crystal growth distorts the paste & grid, 'dissolving' (actually converting to lead/oxide and H2SO4) it sometimes leaves pockets behind as the lead oxide occupies less volume.
Once the sulfate is back in ionic form , ideally the plate/grid/paste needs to be reformed to compensate for the pockets left by the now 'oxide converted' large sulfate crystals. Thus some limited cycling of the battery via a sequence of discharge and slow charge will rebuild the micro structure of the paste surface to some extent, thus improving overall capacity.