What advantage do you see for a negative TL431 version? I suppose you`d like to make IMO's circuit symmetrically so that R1n and R2n can be swapped. But for what reason?
As I wrote, I wanted a negative version of the REF05, which is a
three-terminal series regulator specified for precision use.
Lacking such a negative REF05, I used a higher-specified equivalent of TL431 (from LTC) for negative voltages in my design.
Otherwise, the parts count would need a precision op amp (e.g., OP-07) and two expensive resistors to obtain the stable negative bias voltage I needed.
In general, three-terminal series regulators are often superior to two-terminal shunt regulators.
Since the TL431 with the appropriate voltage divider (or wire) to the REF pin forms a circuit equivalent to a Zener diode, that combination can be used for either positive or negative voltages.
Note that the TI datasheet identifies the three pins as CATHODE, ANODE, and REF. That is the possible confusion I was warning about in my post.
In other projects, I have used the very flexible TL431 for positive and negative voltage circuits.
When done carefully, it can be used at higher voltages than specified with a cascode NPN transistor (or even vacuum triode) or series high-voltage Zener and additional diodes to protect the device during turn-on.