The Profile bass is a great bass, I've not tried the other Bass Collection Precision's so am unable to compare. But as said the Profile is a very playable, and nice looking bass.
I've changed and upgraded mine a bit since I've had it, Gotohlites tuners, Fender Custom 62 pick ups with added white covers (couldn't find cream ones that fitted), bridge cover, now sporting a darker cheap rhubarb & custard pickguard and CTS pots fitted.
The Profile sounded great stock, hot pick up with 500k pots - I wanted something a tad more traditional but to be honest the 62 PU and CTS pots haven't made a huge difference on the stock setup...perhaps a little smoother on the top end. The playability though is quite excellent and I'd say worth every penny in my view.