In this particular case it's mostly reflecting our choices of units, and the fact that changing the units can change the constants by many orders of magnitude. Benford's law comes from a distribution which is invariant under that kind of change.

However, it's an interesting question whether the dimensionless fundamental constants have a deeper explanation, since they don't depend on unit choices. The fermion masses are roughly evenly distributed logarithmically, for example (which leads to Benford's law). There isn't a clear reason why.