I have owned my '63 Precision since January '68. It had no strings on it when I got it. At the time I was using Rotosounds but long scale sets were unavailable in Liverpool. I took a trip to Manchester where I found a set. I stayed with them until the late Seventies when fret wear became a problem. I switched to Brite Flats, I forget who makes them, and the fret wear was much reduced. A couple of years back I returned the bass to stock. Re-installing the original package and removing my phantom powered active electronics and EMG pickup. I installed flats and absolutely hated the results. All the instrument's life and personality vanished and what was left was a dull muddy thump. Not even my B15 could do anything with it.
Possibly an SVT could bring something back but nothing that I want.
The bottom line of the situation is that your tone goals are most likely completely different to mine. We are all different and that's the best!
Enjoy your equipment - I hope it brings you joy for many, many years.
Edit: The bass still has the flats installed as I seldom even use it. A new set of Brite Flats is waiting on the string shelf ready for when I get around to installing
Edit2: I met my wife playing it on June 06 '68. We're coming up on our year 44. Gawd I feel old!