IMO/IME it really depends.
If I'm just a hired player, I ask what they want. At this point some clients are familiar with what I can do and just ask me to do my thing. If they don't, hopefully they give some idea of what they are hoping to hear and I do my best to give them that with the tools I have.
If it's my session and I know the room/gear, then I usually bring two basses to sessions. I'm a Jazz Bass player primarily so I bring one with dead/thumpy rounds and one with newer/bright rounds. I have other basses I can use, but they probably only make final tracks maybe 10% of the time.
Once your tracking, I just listen with the rest of the musicians, engineer and producer (if there is one) and jointly decide if the basses I have are working for the tracks.
Unless it's my specific track, I pretty much always defer to the rest of the stakeholders as far as sound/tone/coloration and any FX applied in the box.
My experience is that, if you're the hired guy, you have to be flexible, easy to work with and deliver the goods pretty quickly (if you want to be hired again).
If your paying, you get to do what you want as long as your money holds out.
I really enjoy session work, hope yours goes well.