Perhaps the factor of one having a 130w power supply
and the other, a 190w power supply, may be important.
The larger display likely requires some more power.
According to
http://mactracker.ca database, these are
different power supplies; though my reading indicates
there are a few part numbers from which to choose if
buying a reman or replacement logic board...
Some series of replacement or remanufactured last
model logic boards are swappable one way but not
as likely the other; some may have shipped with a
higher wattage power supply to satisfy both markets
at some point, since there are at least two part nos.
listed online as replacement logic boards for these.
The higher output power supply may be OK in a
low-power case, with smaller display, etc; but the
low output power supply equipped board may be
inadequate for the 20" given original specifications.
Elsewhere in the past few years, a similar discussion
has taken place in these forums; so one has to be
careful to have the correct power supply. Error on the
side of having the 190w unit, if you have both available.
And if the slots and openings in the case match the
computer the LB and other parts were intended to fit.
Otherwise, it is almost too easy to get other iMac G4s
to use for frankinsense parts beasts, to experiment on.
OP: What was wrong with the first or most desired iMac G4?
Just curious...
Good luck & happy computing! 🙂