A lot of valid points and good suggestions. This, though:
… reminded me of something else that may be helpful to think about. IME, chorus, reverb, and sometimes delay or vibrato can reduce the audible attack of the bass. Obviously, this is not a big deal in plenty of situations (including aspects of improvisational playing, as mentioned by the OP). But if other band members are depending on you for time keeping, hearing your string attack clearly is desirable. I play many of my gigs without a drummer, and the most important aspect of my job is usually timekeeping. I’ve found that reverb and chorus can make it difficult for my live performance partners to hear my downbeat.
I have no use for an octaver or an auto wah (Mu-Tron), but some people like those. I can only think of one song I might want to cover that uses delay on bass, and while I did once apply chorus or maybe flanger to my bass in mixdown on one album as a special effect, I wouldn't bother with that live.
… reminded me of something else that may be helpful to think about. IME, chorus, reverb, and sometimes delay or vibrato can reduce the audible attack of the bass. Obviously, this is not a big deal in plenty of situations (including aspects of improvisational playing, as mentioned by the OP). But if other band members are depending on you for time keeping, hearing your string attack clearly is desirable. I play many of my gigs without a drummer, and the most important aspect of my job is usually timekeeping. I’ve found that reverb and chorus can make it difficult for my live performance partners to hear my downbeat.