Mutation itself isn't truly random. It occurs more frequently in some parts of the genome than in others. More pseudo-random than strictly random.
That may still be truly random, only that the underlying distribution isn't uniform. Having a uniform distribution isn't all that important as the distribution may be changed by looking at things differently.
For example; atoms undergoing radioactive decay have a uniform probablity for within a given time interval is constant (depending on the length of the interval, not the starting point of the interval); however, the waiting time for an atom to decay is exponentially distributed. The number of atoms decaying in an interval is Possionly distributed.
It's not a big point, but I have seen some papers by economists who think only a Normal distribution is random or some who think only a uniform distribution is normal.
What's Normal for one may be Poisson to another.
Fair enough. Likewise genetic drift isn't truly random.