There were never any angels in ‘los angeles” (The Angels), so, it’s very immaterial what the city is called or how it’s pronounced. The Angles sounds just as good a name as any. Besides, the name came from the Mexicans, so, it could be changed to “The Mejicanos” and at least half the people there would approve and be proud of the name.
The Los Angeles Angels are, translated, “The The Angels Angels”.