Living in a dense, walkable cities where your friends and resources are close is a healthy and sought after lifestyle. You should try it.
Not every location adopts the approach of building a car dependent hellscape, and then using the very car dependence they have created as justification to continue the car dependent approach.
How do you plan to get to Rainier?
Whether or not those cities are "better with a car" doesn't really matter here. OP was asking what "cities you can live in without a car", and you can do that in all four of those (I've done so in Seattle and San Francisco). Whether or not you love to do it doesn't change the fact that it's perfectly possible.
And Mt. Rainier? Really? Again - the question was whether or not you can live in a city without a car. Rainier is two hours outside of the city, so it's not even a part of the question.
Holy shit lol. I usually kinda roll my eyes when transit activists use the phrase "car brain" but it just clicked.