so long as the cable connections out to the battery bank CANNOT transfer force or vibration to the fuse, physically, there will be no problem. If force or vibration is applied to the fuse, it will change its rating and/or shorten its working life.
BUT!
I don't think I'd like to have to manipulate cables with batteries connected to the other end and no fuses, though. I've . . .heat-treated. . . a couple of wrenches that way. (they're never quite the same, somehow) So, caution is the watchword. Disconnect at least one battery terminal before working on the fuses.
Too, a blown fuse may not have the strength to keep the cable attached to the inverter, and I can forsee a situation where your battery could end up shorted because a cable touched something it should not have. . . . and with no fuse in the line, this is a VERY BAD THING waiting to happen.
the fuse is supposed to protect your batteries, structure and cable runs from a short anywhere after the fuses. . . . like a blown inverter, or two cables touching when they shouldn't. the closer they are to your batteries, the better able they are to do that job.
fuses are not especially good at protecting semiconductors. . . so connecting them right to the inverter is going to defeat most of their usefulness.
Cable is (relatively) cheap, terminations are easy.(once you''re set up for it and in practice.) Do it right and you'll be happier in the end.
Dan