Only because we already know that these particles have to move at c. Someone who’s on the at the “we can’t go faster than light because things get too heavy” isn’t going to see a problem with a photon going whatever speed it wants to, and having a relativistic mass of zero except when it’s going at exactly the speed of light (in which case it’s still indeterminate, not infinite, so we might think, “hey, take the limit”).
I’m not saying any of this is true, just that it’s where “Newtonian mechanics + speed makes heavy” theory leads to.