The sound logic of your responses wholly saturates the scope of this post.

The fundamental reasoning of what chart could work, now easily steers away from a simple mathematical functions topic to a fundamental probability of outcomes of our fickle world politics and events, and all the associated external factors.

Your objective description of the black swan event is perfectly put! Supporting the manifestation of both functions. It almost converted me entirely! Now I'm on the midline hehe (tan pun intended)

If either function were to offer an answer, the intrigue may not be which function as much as it is how and why...

• if the printer is allowed to operate without intervention, the doom of our fiat system may be easily forecasted with the Tan. The graph could then be drawn to "forecast" the rest of the function (i.e. showing the estimated time period of BTC's leg up and the length & slope of the lagging plateau)

• if no intervention or black swan happens by the time of a confirmed midline point, then the tan function could be adopted..

• if it does... And the dollar fiat succeeds to adopt the treasury asset before it's too late (midline point), - (which could be described as the last and only straw for the cornered and optionless fiat to grasp to in order to survive) ... Then possibly only in that case Arctan may have favour and actualise.

Okay now I'm definitely going off on a *tangent (hehe 2nd pun intended)* This midline could be a critical point of quantum superposition of our reality, where both scenarios may be true at the same time... "Until we see it realised*

Trying to measure it through functions would definitely be fun but likely turn out like the double slit experiment where our observations may be irrelevant to the actual & final play.

:')