The proverb for this is, "The cobbler's children go unshod." An organisation that has specialised expertise usually deploys that expertise where it has the largest impact, because it is limited. Hence, the cobbler spends all his time making shoes for paying customers, and he has not time to make shoes for his own children.

So, the Google Drive search implementation is probably closer to what you supposed than what you'd expect if they threw the full weight of their search expertise at it.