There is clearly one area where your ethnicity/race matters: genetics. Your ethnicity can can be used to approximate genetic clustering and that is done to some degree within pharmacogenomics.

Apart from the that one carve-out, their point is correct.

However, ethnicity is only rough approximation for genetics as clustering is not perfect (obviously). Thus the cure for even this area is improved NGS testing.

So actually, their point is completly correct as-is.