Our realization that diffuse functions are hardly ever needed on hydrogen atoms dates back a number of years when we noticed that diffuse functions on hydrogen raise the cost but do not usually increase the accuracy. To provide a hard test, we did calculations on a metal hydride, LiH, and found no significant improvement when diffuse functions were added on H. We concluded, "Since metal hydrides are seemingly a "worst case" for omitting diffuse functions on H, it appears to be confirmed that diffuse functions on hydrogen have little importance for most thermochemical calculations." We later reconfirmed this during very extensive studies performed when proposing the calendar basis sets. At that time, we also suggested that the augmented basis sets of Dunning bring in high-angular-momentum diffuse functions at an earlier zeta level than is necessary. For example, for C, N, O, and F, aug-cc-pVXZ brings in diffuse f functions already at X = T, whereas jun-cc-pVXZ brings them at X = Q; this is particularly important since adding a diffuse f subshell adds seven additional basis functions to the basis set. We have since found that jun-cc-pVXZ calculations are usually comparable in accuracy to aug-cc-pVXZ calculations but at a lower cost. Here we illustrate this in the context of two-point extrapolations.