Buying frozen solid means cleaning up your mixer. I also bet it's easier to lose some fiber.
Either way, the taste isn't the same as freshly made juice.
I'm from Brazil and loved tangerine/mandarin juice since when I was a kid. Now I've moved to the Netherlands and love it even more. How come, you may ask? In Brazil, we usually find tangerine pulps. Here, I buy fresh tangerine in the supermarket. Sure thing, it takes much longer to squeeze them and clean things up... but the taste is 5 times better.