The Precision is one of the best ever bass designs. The pickups, hardware are built to last forever. The body fits nicely. The bass holds pitch. With Fender there's potential to find that magic neck. The P is more comfortable than the Rick.
The Rickenbackers, probably because of the shorter scale, seem to sustain more. I think the design and craftsmanship of the 4003 is a little better than the Precision. Rickenbacker's finishes have always been beatiful imo. Their wood is better.
The pickups, electronics and bridge hardware of the Rick aren't too my liking. That metal is uncomfortable. And the bridge is a bear to intonate.