I am a math professor. Course catalogs are there to give you some idea of the course work and requirements. A lot really depends on the professors who teach it. UCB has a reputation for being one of the most rigorous math departments in the US, so I doubt that you’ll be slumming it there in the intro math courses. I 'm sure you’ll thrive at any one of the places you listed .All are highly respected, and will have a vast array of pure math courses, Ugrad and grad, that you’d be interested in… So choose based on other factors such as affordability etc.
BTW, this “thumbing your nose at computational math” attitude should be something you should reconsider as you mature. First of all, it’s elitist, and no one likes an elitist snob, no matter what they’re elitist about, and second of all, pure math grads with this attitude are pretty much unemployable outside academia. Even in academia, a pure mathematician may have to occasionally condescend to teach math that’s more computational in nature.