There is a disastrous misconception about the entire “mappers” versus “trackers” controversy. At the center of this controversy there is the belief that those who introduce finite s maps into accelerator theory do it for a single purpose: to replace integrators (i.e., kick codes) by approximate powers series representation of the entire machine. Thus the word map refers to an attempt to speed up tracking studies by introducing transverse approximations of the dynamics. Then it follows logically that “mappers” fell in love with the “DA-Package” (i.e., automatic truncated power series algebra) because it extended their ability to produce high order power series for tracking. I remember in my days at SSC being told by my boss Alex Chao that it was important to reproduce 400 turns of tracking with “DA” to convince the authorities that money was not wasted on our salaries!