In many schematics with input and output transformers, sometimes we see a resistor across the secondary windings.
A transformer without a load is a variable impedance, that increases with frequency. Electronic ciorcuits that don't rely on heavy NFB are sensitive to the impedances they are connected to.
Tube circuits in particular, but also many SS need to see controlled impedances. The stage the xfmr is connected to may have very large gain variations, that may not only alter the frequency response, but also result in unstability/oscillation.
I somewhat understand their purpose in a zobel network but what do they really do when there is no capacitor involved?
But here are always capacitors involved! Particularly in xfmrs. There is capacitance between layers of wire, that appear as in parallels with the windings, and there is capacitance between primary and secondary, and between windings and frame/core.
Thesecapacitance react with the leakage inductance to produce a resonant Low Pass filter
For example, the original EQP1A schematic has a 600ohm resistor across the secondary of the input transformer before the passive filter stage. Jakobs schematic has a 10k.
The EQP1A is a passive EQ. Its correct operation implies perfectly controlled input and output impedances. If the impedances were not correct, the response would be skewed.
A Zobel circuit is not unrelated, on the contrary; it's a way of compensating the increase of impedance, by applying progressively more load (damping), without unnecessarily loading the circuit at low and mid frequencies, which results in improved distortion and headroom compared to simple loading.