Hi, JB.
The Herter's No. 81 is SXS like a double barrel shotgun. It is also liken two No. 3 Herter's presses joined together. No difference in the linkage system as they are the same.
The linkage on this press is double if I remember correctly. therefore, to achieave swaging status with it it will have to be aultered a bit on linkage bars that connect the handle to the ram piston.
This linkage bar has two link pin holes on each end, select one end and cut off 1/2 inch of the bar. You will then need to drill another pin hole the same exact size the link pin is.
What this does is shorten the ram's piston stroke to being able to reach the swaging die, thus allowing you to swage different length bullets to be swaged and also allowing you to seat your swaging die deeper into press's threads. Beleve me, this is really necessary if you expect your Herter's to be able to top out its up-stroke without going to far up into the die.
It also makes swaging a whole bunch easier as well...less pressure to swage a bullet with one of these old Herter's units.
I know whereof I speak, as I've converted my No.3 Herter's exactly as described...and it works a lot easier than before. In fact, I use this old press a lot for hollow basing or hollow pointing my bullets.
Let me know if you have any trouble doing this, can make you a cardboard pattern of the link bar.
Jim