Is there any difference among exoplanets in composition due to host star? Simply put, would, say, rocky planets orbiting red dwarfs have a noticably different chemical makeup than rocky planets orbiting B-type main sequence stars? Mutatis mutandis gas giants and the other types of host stars.
The chemical makeup of space dust -- the stuff  which agglomerates into planets -- is dependent on the history of supernovas and neutron stars and the like which created the atoms in a given region of space.  This is unlikely to bear any relationship to the size or age of the star around which said items revolve.