results in less cosmic rays reaching the atmosphere
Cosmic rays, or high energy particles originate in space. They have a much higher energy than solar particles. The numbers of these high energy particles relate to extra-solar events who rate should not be affected by the solar wind flux as the energies are very different.
Most, if not all, of the solar wind is trapped by the earth's magnetic field while cosmic rays are deflect somewhat. The solar component to this stream is made visible in the auroras at the earth's magnetic poles.