No. "Fake" would imply that there was something real that it was in reference to, but intentionally avoided. This doesn't even qualify as fake; it's pure fantasy.
The ONLY way an exponential curve can be maintained for an indefinite duration is if there's some force in the world that keeps track of gains and subtly shifts physics to make new types of things possible whenever a previous type of resource is maximized. Raw computing power isn't measured in terms of Moore's law; it reflects an optimization trajectory that is a base function of global economic output. The depth and duration of a logarithmic curve is centralized to the exact place where the resources that define it have already been assembled. You don't reach a point in economic transaction where suddenly Africans can print phones with the 3D printers they made themselves; you have give them the printers.
Nature doesn't do exponential resource chains. It does bell curves. Everything reaches its climax and a new optimization path has to be found. Evolution took a fuckhuge amount of time, and if we misread the slope of the crash, it'll have to restart from "tool using brains." On a larger timeline, our bell curve will just look like another random dip before whatever actually does end up figuring out how to meet the asymptote.