They are called the LA Angels. When the Rams played there they were called the LA Rams. Both teams identified with LA more than OC. The very name "Angels" comes from old minor league team, the "LA Angels", (the city of LA being the "City of Angels") which the Angles used themselves for their first few years when they played their games not at "Dodger Stadium" but "Chavez Ravine".
But today their home stadium is in Orange County and it is an OC team before anything else.
The "Dodgers" name comes from Brooklyn. But, today, it plays in a home stadium in LA.
I say this as a lover of the OC myself, but this obsession that the OC is somehow disassociated the the LA metro, that only residents of the OC have, is lunacy. Nobody else cares and snickers at the provincialism.
Not really. The OC in many ways tries to segregate itself from the attitudes, politics and lifestyle of Los Angeles. In fact, when I was there I never said I lived in Los Angles... I said "Glendale" and if anyone was unfamiliar, I said it was "near Hollywood".
The OC is Disneyland; LA is the Rodney King riots.
In fact, when I moved to LA 30 years ago, I spent the first 3 years or so powerfully regretting the move (but liking the income) and totally detesting the location. And as soon as I could, I moved out of the metro even though I continued to work for the same folks. Of the places I've lived, it ranks even below Birmingham, AL, where I lived not-briefly-enough in the early, racist 70's.
I ranked the places I have lived fulltime or part time...
Quito (Mariscal), Ecuador
San Juan, PR (Metro Area)
La Quinta, CA (Palm Springs MSA)
Coral Gables, FL
Traverse City "Metro", MI
Scottsdale, AZ (mid-70's)
Prescott, AZ
Buenos Aires, Argentina
Mexico City / Colonia del Valle (early 60's)
Fairfax, VA (early 70's)
Cleveland Heights, OH
Guayaquil (Urdaneta), Ecuador
Los Angeles, CA area (tie with Guayaquil)
Birmingham ("Over the Hill), AL