In my opinion, with the right amp and the right bass, you can emulate that sound with a modern bass with a modern tube amp. I can with my Lakland 44-02 and a Mesa Walkabout Scout.
I haven't played either of the aforementioned basses, but I've heard them, and honestly, you really don't need to spend that much money to get that tone. Also, getting the real deal is something you would want to put in a bullet proof locked glass case, and never play, since the wire coils are corroded along with many other things in most vintage basses.
Really just need a pickup in the right spot, and the right equalizing
Another edit, you can get custom shop fender pickups from made by fender direct or from ebay. You can have someone put that in a bass that has the same wood, and the same looks. Honestly, Fender Custom shop is one of the most overpriced branches of a company I've ever seen. You can custom order basses from this guy, [Invalid or Expired Link Removed] and he will build it with any specs you want. You can choose finishes, and pickguards, and I'm almost entirely sure that'd it be much cheaper. He uses
Lindy Fralin Pickups, which is another brand you can custom order from. Plus, I met Mike Lull at NAMM in January 2011, and he's a great guy. He let me play his new (at the time) TC5, and my god that is a godly bass. He let me jam with Grant Austin Taylor at his booth too.
By the way, that is the most pretentious 16 year old I have ever seen, (I was 15 at the time) but you didn't hear it from me.