Generally, there is very limited to no additional access into some of the computer's
other hardware when booted into FW TDM. In some computers, the optical drive
may be accessed (in a healthy Mac) and of those models, some can allow use of
the healthy computer's optical drive from a computer whose hardware may not
have a Superdrive. The need for that could occur if one is trying to install an OS
that shipped on a DVD, in a computer whose hardware was only a CD-ROM drive.
This probably won't help get into your computer; and in some cases, there may be
some problems in using FW TDM between Intel-based Macs and PPC-based Macs.
Did you get around to resetting the power management unit? The button is in hiding
under the metal bottom plate and certain rules apply when resetting that PMU:
• Resetting the iMac (flat panel G4) Power Management Unit (PMU)
http://support.apple.com/kb/HT1712?viewlocale=en_US
• Resetting your Mac's PRAM and NVRAM:
http://support.apple.com/kb/HT1379?viewlocale=en_US
There are several reasons why the computer may hang on partial startup, if the
hard disk drive has a damaged section of data on the drive and it can't go past it.
Sometimes, the display may not work; other times it could.
This is a gray area of activity or inactivity; and some of these kinds of overlapping
questions are answered in Apple Support documents; found by searching Support
or sometimes by searching via Google or other search engine, very selectively.
Words such as ' black screen startup ' or ' chime no display startup ' and other words
such as iMac G4 and so on. There can be dozens of results; some won't be for an
iMac G4 and others may be for a G4 tower, etc. I've found many answers to issues
among searching; & before I had reliable internet, I repaired dozens of Macs without
the internet - and not much of a tech library. Trial and error served me adequately.
If you search these forums for replies and questions similar to yours, you would very
likely find some answers or perhaps links to Support Documents or articles on topic.
There is some chance there may be some problem outside of the hard disk drive;
as these machines age, other issues that have become known in general surface.
Some get a problem in the graphics circuitry and there are replaceable parts that
can be installed. In a few cases, the graphic card or video unit may fail and since
it is essentially part of the logic board, that would constitute a major failure (cost.)
I was hoping someone such as Mr Totes, or spudnutty, among others - would see
your thread and add their experienced comments - where mine are lacking.
One can always hope...
Good luck & happy computing! 🙂
PS: You would have to find the user account files in order to access content on
the failed Mac in Target Disk Mode, and try to copy the user content into a folder
in the healthy computer; or perhaps also burn the images, etc. to blank CD/DVDs.