I own two Jazz Basses ('73, and a '94). On the '73, about the only thing I have to do to adjust the truss rod is remove the pickgard. I use a right angle phillips head scredriver for it, and it works fine. The '94 is styled after the '75 Jazz Bass, where they went to a three bolt neck and a bullet truss rod system with the truss rod being on the headstock in the shape of a bullet. It is much easier with the adustment there.
Geddy Lee's Jazz Bass is like my '73 in the sense that that it had the truss rod adjustment at the bottom of the neck. Like his, mine has the black block inlays, though the body on mine is natural, whereas his is black. The reissue Geddy Lee basses are like his, e.g., black, maple neck with black block inlays, and a Badass bridge. Like Geddy's, I have a Badass on mine as well (Fender bridges, at least the older ones and the ones on cheaper new models just plain suck IMHO).
Of course, the problem is easily solved by buying an Alembic ....
Alan