Well, yes, when I tell someone where I live, where I grew up, etc., I give the name of the city or town, and almost never mention the county. But when people refer to the county, we always include the word "county" (unless the place is Alaska or Louisiana, where county-equivalents have different terms, or in Hawaii, where the counties are coterminous with islands).
When the place name references in Wikitree name fields refer to a county, as many of them do, they need to include the word County to avoid ambiguity.