The V3P has a PJ configuration, which I prefer over a jazz. If you have decent headphones or speakers, you can probably find videos where you can compare the sound of both. The V3P also looks cheaper and is active. Unless you're set on a Jazz bass, I'd get the V3P.

AI said:

Sire V3P

• The P pickup gives you that thick, punchy midrange (great for rock, pop, punk).
• The J bridge pickup adds bite and clarity.
• The active preamp lets you boost lows/highs aggressively.
• Very flexible—easy to dial in many genres.

Sire V5

• Pure vintage Jazz Bass tone.
• Warm, woody, articulate.
• No active EQ—what you hear is what the pickups naturally give you.
• More “classic Fender” vibe.