Also the EF86 is not an American tube.
Do you have any date codes off of parts in the actual mixer? I don't know exactly when the 5879 and the EF86 were introduced; maybe the EF86 came out first. Both were advertised and sold as low noise pentodes.
The first tube stage is a EF86 wired in triode mode. My guess is they ran with triode mode because it has less gain and therefore less distortion. Seems like an odd choice, but the whole thang is odd and that's why I'm typing about it.
The EF86 is low-noise by pentode standards. All tubes have a couple of mechanisms by which they produce self-noise. All pentodes have 1 extra mechanism compared to triodes, so all pentodes have more noise than an equivalent triode. So you take a low-noise pentode, strap it as triode, and further reduce the noise coming from it.
That's dead-common in hi-fi and pro-audio.
The real issue is that the designer looks at how much noise is produced by the source. Then they usually use an input transformer to step up the signal level ("free" gain) before hitting the first tube grid. If the transformer ratio is high enough and the first stage self noise is low enough, the noise coming from the source (mic, line, etc) is higher than the self noise of the input stage. That makes the noise contribution of that first stage irrelevant.
You might consider measuring the step-up ratio of one of the input transformers.
That step-up is likely a needed item anyway, to better match the input impedance to the mic impedance. If I remember correctly, the input impedance for this mixer will look like the 22k on the EF86 grid divided down by the step-down ratio looking back to the mic. EDIT: That might be only if the resistor spanned both output leads for the transformer; as shown, the 22k is probably just a grid stopper.
Anyway, if you get some gain from the input transformer, you don't need as much from the input tube, so triode operation again works out.
From here it hits ... a left right switch
Left, center, right? That's what it looks like, and would be typical of old-school mixing.
This stage is wired pentode mode and sets the bias of the following 12AU7 cathode follower stage. It's screen voltage is derived from the cathode of the 12AU7.
Well, I would have described it as EF86 direct-coupled to a cathode-follower, but, yeah. The screen voltage coming from the cathode follower looks like a clever way of having a free d.c. supply at a new voltage level. You'd really have to think the plan out to make all the voltages between these stages work out properly.
It would be interesting to see if the current for a given signal in the EF86 is approximately equal to the current in the 12AU7 cathode follower. If they are the same or close, the load on the power supply is lightened, and it would take less filtering to decouple these stages from the input stages. Obviously, the d.c. drawn by the 12AU7 is much, much higher.
The cathode of the 12AU7 is grounded via the shield of the EF86. I assume this was done for some sort of noise rejection ...
Do you have pics of the inside of this mixer? Are the sockets very close to each other? Is the wiring style "point-to-point" as in the resistors span from one socket to the other?
If so, there is no noise rejection going on. The shield is tied to more than 1 pin, and one of the pins is grounded. That makes every other shield pin a convenient ground lug. If the sockets are close together, and the resistors make the connection, then you have very small wiring loops for this part of the circuit.
The cardinal rule with layout and lead dress (especially in radio) is that you want to minimize the loop formed by the circuit wiring. The smaller the loop. the smaller the "aerial" you have created to pick up hum and interference. This odd connection may be only about making the shortest, easiest wiring possible.
I don't think it is about noise rejection, other than preventing noise pickup. That's because once this tube element is at ground potential, how can/does it interact with the plate? It's not heated, so there shouldn't be any real current flow between the two. The only effect I can see happening is that which the shield would do anyway: change the amount of capacitance from plate to ground.
If there is a strange uncommon trick being used, maybe PRR knows it. But I think it's simpler than it looks.