Found the name in Milans encyclopedia (my actual realization
predates the finding).
There was even a theme tourney about the pattern:
1. X (2.A)
1...y'?! (correction) 2.A
As a natural born troll I considered adding
1...y'?!?! (3rd degree) 2.B
My realization (which I don't show here for not influencing
you 2# buffs :-) divided the correction moves on two different
pieces, which promptly earned me a "Too contrieved, don't
understand it" from 2# director Hubert Gockel of the SCHWALBE.
He's right - I don't understand it myself :-)
Thus: Do you see a possibility to show it with only a single
thematic black piece? My half-hearted attempts lead to nothing.
A convincing example where the correction of the first correction does not resemble a dualised random move will be difficult --since a random move anyway leads to mate B, a third degree defence again leading to mate B will be difficult to accept. Good luck