Confusing Fender Jazz PUs

[Nordskov]

Hi all.
I have a MIM Fender Jazz which I stripped the frets to make it fretless. All went good, the patient survived and its a joy to play.
I never was very keen on the pickups though. They lack bottom end and doesnt have that "mwah".
Now I'm looking for a set of Fender vintage '62 pickups with Alnico 2 magnets.
But it seem they are named differently worldwide, or....?
I simply cannot distinguish between Pure Vintage 62, American Vintage 62 and Original 60.

Are these the right ones?
https://www.thomann.de/dk/fender_original_jazz_bass_pu_set.htm

Thx