The point is to (mis)state that “homosexuals” were just as much a victim group as Jews and gypsies, when nothing could be further from the truth. The Holocaust Museum in Washington has a display that shows the various insignia that were required to be worn by different groups in the concentration camps. There was a special one for homosexuals. As you can see in this chart, they were required to wear a pink triangle. Evidently enough of them were rounded up to make this separate category necessary.
Yes, but if you search for evidence that homosexuals were rounded up and put into the camps exclusively
because they were homosexuals, you'll be wasting your time.
The Nazis had no interest in anyone's sexual orientation. Indeed, they ignored the homosexual subculture of the SA for the entirety of the Reich.