I really don't think most non-musician audiences can tell or care if you have an alembic or a fender bass or even if there is a difference in the sound. They just want to hear a good band play.
But, JV, part of what the audience is hearing that makes the band sound good is your tone. They may not be out there thinking Wow, his Alembic sounds great!, but they are hearing good sound, and that increases the impression of a good band.
Peter