> Had that little winding been drawn on the primary side instead, it would have indicated a split- or distributed-load for the output tubes (like McIntosh amps). While that arrangement does provide feedback, it also indicates a different mode of operation for the output tubes.
Disagree.
There's only one core. Which side we draw the windings may aid thought, or may just be convenient for the drawing.
The Mac's cathode winding is not Positive feedback, but a (partial) Cathode-Follower. (Some models have added windings to screen, and to driver; the driver winding is bootstrap, Positive feedback.)
The key difference between this Hammond (also seen as a mod for Dyna) and Mac is that Hammond's cathode winding is maybe 10%, Mac took a full 50%. So Mac is MUCH more linear, but also has a BIG drive problem.
Modes: the self-bias Hammond is clearly run near class A. The bigger Macs run cool AB, even AB2. The huge NFB from the 50% cathode winding keeps them linear over a much wider range, so cool AB is still clean. Pushing a small grid current gains a few more Watts (the magic "50" number) within the spec-limits of the older tubes.
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> any advantage/disadvantage to using that circuit?
Tube Hammonds are about the most "musical" amplifiers ever built. The guy had style and knack. It would be very reasonable to adopt the whole output stage (S3 onward) and play through it. (Might want larger coupling caps; in fact as a "treble" channel that OT may not like big guitar bass.)
But if you have your own known-safe circuit, just ignore that cathode winding.