Does the “Table 1 fallacy” apply if it is Table S1 instead?

In a randomized experiment (i.e. RCT, A/B test, etc.) units are randomly assigned to treatments (i.e. conditions, variants, etc.). Let’s focus on Bernoulli randomized experiments for now, where each unit is independently assigned to treatment with probability q and to control otherwise. Thomas Aquinas argued that God’s knowledge of the world upon creation of it …