Psychological science has rightly become worried about questionable practices in experimental research, with a range of recent suggestions being made about remedies for this “replication crisis”. To avoid similar problems in psychological-process modelling, Lee et al. (in review) propose ingenious adaptions of these remedies along with insightful new suggestions. Although in the main applauding of these developments, I question whether some of the lessons drawn from the replication crisis are applicable, particularly with respect to the confirmatory vs. exploratory dichotomy given the intrinsically explanatory nature of most psychological-process models. © 2019, Society for Mathematical Psychology.