But it is not a coincidence. Light — the EM field waves — propagates at causality speed because the EM field respects a particular property of the universe, the so-called gauge symmetry. That is intimately connected to the fact that the photobs has no mass.

Other similar particles, like the W and Z bosons, are manifestations of the weak field. Since that field breaks the symmetry, those particles have mass and move slower.

BTW, that symmetry breaking is the very same one that physicists talk about when we discuss the Higgs boson.