Surprising article. The conclusion that ear protrusion (yes, that's a thing) has no genetic basis is of course not impossible, but seems unlikely. It would require another data set to establish it.
Couldn't it be possible for ear protrusion to be uncorrelated with the other variables but still have a genetic basis - presumably by depending on a set of genes with little overlap over the ones that govern size?
I have a lot of ear protrusion, which is even more notable due to my large ears. Having seen old pictures of my great grandfather last weekend, it seems clear whose genes for large protruded ears I inherited.