If CBS was a strong brand in LA, they never would have went with the KCAL branding on both stations for almost 3 years. It's not ideal for CBS (or any major network) to not have the network brand featured in the LA market, it was done because the CBS brand was so weak and they felt the more popular KCAL brand would help get CBS out of last place. It's kind of funny they pick now of all times to go with the CBS brand when the CBS brand is probably the weakest it has ever been for LA viewers. CBS Mornings & CBS Evening News are hitting ratings lows, CBS News being run by MAGA extremists, layoffs and cost reductions on the way (although they found enough money to do a pointless rebrand)
As one of the other posters above said, CBS is the worst when it comes constantly changing and confusing names. Rebranding CBS This Morning to CBS Mornings made no sense. Having both CBS News Mornings and CBS Mornings makes no sense. Even with this CBS LA rebrand they are doing CBS LA on CBS News Los Angeles and CBS LA on KCAL9.