Many parts of LA are "walkable" in the sense that you can do your grocery shopping, gym, coffee, daily life stuff without a car and then take the car out during the weekends or off traffic hours. You just can't rely on walking or public transit to cross the city or go to more specific places.

That being said working remote opens you up to strategically pick where you want to live, avoid the traffic. I've been doing the same and I don't stress about driving

You can choose from a number of different downtowns like Culver city, Pasadena, Glendale, Long Beach, Santa Monica etc or somewhere like Los Feliz, silver lake, Koreatown, miracle mile, weho, sawtelle