It seems like you can get a sound that pleases you easily regardless of the gear you use. There are many who would envy you!
For the various styles you mentioned above, I would generally alter my sound through hand position & technique then twiddle my pan-pot and then finally resort to the onboard eq on my bass. I tend to use my amp eq to accommodate the room but it generally stays pretty similar. I suspect I'm not alone and the thought of having to reset my gear mid-gig as I went through the styles above just seems an unnecessary headache. I also think that if I have to use a lot of eq'ing, I've got the wrong gear.