Rapid star burning during inflation would have used up all of the local variations in density of material.
Local density bubbles would have "popped" or decreased in size during inflation.
Inflation would have thinned the surface of the visible photosphere, thus smoothing it out.
Rapid expansion of a tiny primordial universe would have brought it to a large size before local variations in density could form.
Inflation would have heated up and thus smoothed out any local variations.