Yes as I said in the other thread, I did remove both nut and bridge when I was working on them. But truthfully, I was being a little overcautious. I didn't want to nick other parts of the bridge or otherwise scratch up the bass. Also, your Series nut may be glued in place so that would not be easy to remove.
I would say that you could easily work on these pieces while still mounted on the bass if you're just careful. I'd still suggest moving the saddles you want to adjust all the way towards the tailpiece before you do any shaving, and maybe work the "string on a block" file only in the direction of the tailpiece and slightly angled downward. Make sense? You'll know it's working because you'll see some brass dust appear.
Jimmy J