The bass does sound great in that recording, but I doubt it's a matter of finding the right plugin in order to achieve that quality. It's about the skill of the engineer, as well as that of the bass player.
I would guess that the bass in that song was recorded direct, then an amp sim was added. I could be wrong about that, it could have been miked and just played extraordinarily well. That's how they did it at Motown, where they got a similar quality using only low-tech methods.
I draw no distinction between vintage and modern - good is good. It's just that nowadays people assume that anything can be easily and quickly achieved using digital signal processing, and that understanding sound isn't important anymore. Those people are always on a perpetual hunt for the perfect compressor, EQ, reverb, channel strip, console emulator, etc. etc. etc. It's what sustains the plugin industry, but it's based on a myth.
Somebody once put it this way on Gearslutz:
"Artistic Types + Money - Technical Training = Business Opportunity"