Motivation p-values and standard null hypothesis testing have come under intense scrutiny in recent years (Wasserstein et al., 2016, Benjamin et al., 2018); s-values and safe tests offer several advantages. Most importantly, in contrast top-values, s-values behave excellently under optional continuation, the highly common practice in which the decision to perform additional tests partly depends on the outcome of previous tests. A second reason is their enhanced interpretability, and a third is their flexibility: s-values based on Fisherian, Neyman-Pearsonian and Bayes-Jeffreys’ testing philosophies all can be accommodated for. These three types of s-values can be freely combined, while preserving Type I error guarantees; at the same time, they keep a clear (monetary) interpretation even if one dismisses ‘significance’ altogether, as recently advocated by Amrhein et al. (2019).
If one considers Tukey's 1960's celebrated works recent... I don't want to be mean, but if they write in the paragraph "Motivation" about how great their method is, where's the paragraph "Our great method" which must contain the accidentally switched motivation?