I've played nearly all my appearances on a stage with a Precision bass, as much as I like my Jazz Bass when playing at home.
The revelatory moment for me was breaking out of the flatwound mold.
I had followed the conventional wisdom of putting flatwound strings on a Precision Bass and went through several of the recommended brands - Chromes, some Ernie Ball flats, TI Jazz Flats, La Bella DTB. I liked Chromes the best but was still never totally happy.
That one dimensional chunk sound is OK, but I didn't realize how limiting the flatwound thing had been until on a whim I put a set of good old D'Addario EXL160s, nickel rounds, on a whim.
Suddenly the bass is so much more lively, the tone is multidimensional with girth in the mids and more sizzle above. It responds to picking and palm muting with chunk but still retains character to the sound. I can roll the tone down to 1/3 whenever I want, but rounds give the bass 2 more gears when I set the tone above half.
Sometimes it pays to go against the grain of conventional wisdom.
Earlier today I didn't think the bass had ever sounded better on stage - granted I've changed amps recently as well but I really think most of it is the rounds. There's just so much more content to the sound now to work with.