Hi Audio Atelier
Welcome to Talkbass (TB)!


I am not surprised! Both basses are from very different Fender manufacturing periods.
The 70s is from the CBS years and your newer model tries the best not to be anything like that.
see below
CBS used a different wire in the 70s and different methods to produce pups than Leo!
Leo had a small staff (mostly women working part time ,when their kids were at school) producing machine wound but hand guided pups (the wire was moved by hand to fill the pup) you better be focused on what you do there!
CBS had a huge staff ( hire and fire full time) producing machine wound pups (sometimes guided sometimes not

)
Smoking was allowed in the factory (the good old days) even at work=> you won't find two pickups that have the same number of windings or are guided the same way.
The 70s pups vary a lot more than the pre CBS pups! (QC as we know it wasn' even invented!)
see above
CBS certainly aimed at a brighter sound though! (in the 70s)!
Remember: The Jazz Bass bridge pup position changed! (to get a brighter sound!!!)
And the 70s were not the golden age of the P bass! Brighter sounds (for roundwound strings) were what folks were looking for! (gotta keep up with synths!)
No surprise a 70s P Bass pup sounds more agressive than one made in the 60s!
The 60s sound is what most of today's Ps are meant to reproduce (the 2016 P does that)
Voilà la différence !
When I wear my black leather cap I sound more heavy!

Wise(b)ass