Story is that the tuxedo was indeed invented (and named after) the exclusive and still exclusive private neighborhood of Tuxedo Park, NY.
It was especially taken up by the youth at the turn of the century, who hated the fuddy-duddy formal wear, and dinner wear, of the time copied from aristocratic Brits. In 1889, the tux was accepted as appropriate wear in the Dress Circle at the Met Opera. Officially, a tux is considered "semi-formal;" but the meanings of formal, semi-formal, etc have devolved rapidly in the informal direction for two generations.
Nowadays, "black tie" evening weddings, for example, means tux, not tails. Nobody owns tails outside the royals and, for the past two generations in the US, events with tails are considered pretentious and in poor taste. Rented costumes. No royals in the USA.
Most women will say that all men look best in a tux, and absurd in tails. As time goes on, my need for my nice Brooks tux (had it for at least 30 years and wore some holes in the pockets) decreases each year. Last year, I only needed it twice. Suits seem fine for weddings and fancy holiday parties these days.
I never owned tails.