"In modern times, the hyphen has sown controversy. [Pardis Mahdavi, author of 'Hyphen'] tells the story of how Teddy Roosevelt, in his outrage at losing the Presidency to Woodrow Wilson, in 1912, appealed to Americans’ xenophobia. He was an 'anti-hyphenate.' Mahdavi writes, 'Referring to the hyphen between the name of an ethnicity and the word "American," hyphenism and hyphenated Americanism was seen as a potentially fracturing and divisive force in an America on the brink of war.' Irish-Americans, German-Americans, Jewish-Americans, and Chinese-Americans were all suspect. In 1915, Teddy Roosevelt made some remarks that formed 'a turning point in how the hyphen became demonized both orthographically and politically.' He said, 'The man who calls himself an American citizen and who yet shows by his actions that he is primarily the citizen of a foreign land, plays a thoroughly mischievous part in the life of our body politic.' (Victims of anti-hyphenism might be gratified to know that during the pandemic the equestrian statue of Teddy Roosevelt was removed from in front of the Museum of Natural History.)"
From "How to Use (or Not Use) a Hyphen/Plus: a brief digression into why The New Yorker hyphenates 'teen-ager'" by Mary Norris (The New Yorker).
Those are 2 very different issues with the hyphen. One has to do with the evolution of a compound word. It's about helping readers see what they're looking at. There must have been a time when people, looking at "wildflower" might have taken an extra moment to decide the second part is "flower" and not "lower" (what are "wildfs"?) The second issue is whether we're going to use this concept at all. To prefer "American" to "Irish-American" is to cast aside the Irish part. It's more like deciding we'll just call all these things "flowers" and not pay attention to whether they are "wild" or not... speaking of xenophobia!
What makes a flower "wild" anyway? All flowers are rooted somewhere and incapable of emigrating:
"Wildflower" is not an exact term. More precise terms include native species (naturally occurring in the area, see flora), exotic or, better, introduced species (not naturally occurring in the area), of which some are labelled invasive species (that out-compete other plants – whether native or not), imported (introduced to an area whether deliberately or accidentally) and naturalized (introduced to an area, but now considered by the public as native).
It's the human point of view or activity that creates an occasion for the concept of wildness.
In the Dolly Parton song "Wildflowers," the "wildflower" is able to migrate: "So I uprooted myself from my homeground and left/Took my dreams and I took to the road...."
I thought I remembered a Disney cartoon that had flowers that pull themselves out of their place and dance around. I'm surprised I found it — "Flowers and Trees" — because the flowers are what these days we'd call racist: