The Art tube preamps actually aren't that bad, especially if you replace the stock cheap valve with a better one (e.g a JJ or NOS 7025). They're not "high end" of course, but will add a valve quality that solid state won't.
A dedicated guitar pre/DI that's just a high impedance input with XLR out to feed an interface line input may well add nothing that the interface can't already do, assuming it has a high input impedance "instrument" input. If it doesn't any Boss pedal will provide a 1MOhm input impedance and low impedance output, even with the pedal switched off and the Boss FET switching buffer is as good as any cheap DI you'll find.
By the way, if your bass is a Fender Precision with the split-coil pickup the two halves of the split are set up,so the pickup is actually a humbucker, not a single coil. The early Precisions had a small single coil pickup but Fender changed them round about 1957 when they became styled more like a Strat. Fender kept quiet about the humbucking nature of the pickup allegedly because Gibson/Seth Lover already held the relevant patent.
It's the humbucking characteristic that gives the Precision its deep, rounded tone and thump compared to a jazz bass.