Jaco's funk style with the dead notes, you want to play the dead notes louder and harder than the played notes to get that rhythmic feel and get them to cut through. That's going to be a problem for a compressor.
I remember talking to an African bassist years ago at a venue I was playing, he played there too, very influenced by Bakithi, by Jaco etc. At one gig he was playing there he asked the sound engineer not use any compression on the bass, just for the night.
Later the engineer came up and said: "Wow I could hear everything you were doing..."
Indeed...