Thank you @EMSD for the addendum regarding Lock Morgan’s paper. I should have known that a member of the Lock family has thought deeply about these points (the Lock^5 intro stats book is based on both randomization tests and bootstrap, rather than conventional parametric tests - link below). She seems to be supporting the view that sampling based methods and randomization-based methods can approximate each other, as they are asymptotically equivalent for large samples. So the “bait and switch” is defensible, if only authors and teachers would take the time to talk about this.
The Lock Morgan paper is excellent and a badly needed source of illumination. I will nitpick one point though -she attributes the random sampling framework to Neyman and Pearson 1928, but Fisher wrote about it in 1922.