The 62's will be a huge improvement over the 2004 American pickups. Completely different. The pickups in the Std/Series basses up to 2012 were pretty much throw aways, wound a bit too hot on plastic bobbins and slug poles. For a cheaper but definite improvement, there is the Duncan SPB-1, followed by the Fender "Original", then the current (rebranded, sans beveled poles, same exact spec as the "original") CS "62". Then there's the "63" and "58" which have slightly different specs. On the boutique side, you have Fralin, Novak and Lollar which are all great pickups that are a notch above the rest, IMO.
The majority of production (Fender, Duncan) P-style pickups are wound on very high tech machines built in Japan. They basically get someone to wind one pickup very, very well and this machine duplicates the exact winding pattern that that person used and is programmed into its system. Every pickup is an exact clone of the original. Where guys like Fralin and Lollar come in is that they still hand wind, so the result is somewhat less predictable (a little more high mid here, a little more low mid there) but they still retain the overall character of the design within a specific parameter.