Great question. To me the answer is to show information that is both new and useful: how does each baseline variable relate to the outcome, with no binning. A proposal for doing this is here: https://discourse.datamethods.org/t/should-we-ignore-covariate-imbalance-and-stop-presenting-a-stratified-table-one-for-randomized-trials
This applies equally to randomized as well as to observational cohort studies. It is a common error in the literature and leads to thinking that is not so clear. There is only one sort of study design for which stratifying by the outcome (if it’s categorical to begin with): a case-control study.