> possible to use only the mid control branch?
Yes.
First some misses:
> mid control is the last in a chain
There are four parallel paths. Any of them can be removed with little effect (except R4 R5; this controls "everything" so is somewhat important).
> has no ground connection.
The software's drawing is incomplete. Ground is at the bottom, but not shown. Compare the better-known Marshall or James- they need grounds which are not shown.
> only the mid control branch?
To model it in Duncan's tool, make the un-used branches so far-out that they will have no effect.
R2 R3 should be super-high. The software accepts "100M". (Note that 100m is very different!)
C2 should be super-high impedance for all audio frequencies. 0.1 pFd "never does anything" in audio circuits. (Even MHz circuits don't fool with such values.)
To make L2 super-high impedance, make it 1,000 times bigger. 20,000 Henries is impossible to actually wind, but the sofware does not complain. This is 6 Megs at the bottom of the audio band and even more at higher frequencies.
So we are hitting R5 5k with "leaks" like 6++ Megs. "No effect".
Check your mangles by sliding the Bass and Treble pot-sliders. With 20,000H I get a one-pixel twitch as I slide from 0 to 10; treble does not vary at all.
The mid-network remains.
> seemed to be very flexible.
There is a lot of loss, enough to need an additional tube stage.
The Zsrc (source impedance) is quite low for a tube stage.
A 6 Henry choke is a substantial lump of iron.
We could scale all the impedances higher to more tube-like values, but then the choke might be 20H, a very substantial lump.
Several/many Henry chokes are available as power supply chokes. But their rated Henries is usually for some large DC current. At lesser current the Henries will be higher. How much higher? We do not know.
If large signals are applied to an iron-core choke (we can't make these values in air-core) the varying flux will vary the Henries, causing distortion.
If small signals are run through a large iron-core choke, it tends to pick-up all the hum and buzz in the air and add it to the small signal.
The boost/cut is asymmetric. If the boost is useful, the cut is very narrow. If you have "too much midrange", this cuts such a narrow slice that you'd hardly hear the difference.
If you are not savvy on Tuned Circuits, ALL the component interactions are non-obvious.
Four opamps and a few small/cheap C and R can give similar curves in much more useful form, both electronically and musically.