2560x1600 60Hz requires Dual Link DVI.
Exactly which PowerBook G4?
https://everymac.com/systems/apple/powerbook_g4/index-powerbook-g4.html
Apple PowerBook G4 1.0 15" (FW800 - Al) only supports up to 2048x1536 although I'm not sure if that's true.
Apple PowerBook G4 1.67 15" (DLSD/HR - Al) can support 2560x1600.
Which adapters did you use on the iMac? You need an adapter that supports Dual Link DVI. It needs to be an active adapter. Some adapters might be passive, which means they get a DVI single link (or HDMI) signal from the DisplayPort port using the DisplayPort Dual Mode feature (DP++).
USB-C ports (Thunderbolt or USB4) ports don't support DP++. They use DisplayPort Alt Mode to output DisplayPort but cannot use DP++ to output DVI single link or HDMI. USB-C to DVI single link (or HDMI) or Dual Link DVI adapters are always active adapters.
Note that DisplayPort to Dual Link DVI adapters cannot work from most USB-C dock that supports USB 3.x since those only have 2 lanes of DisplayPort and the adapter requires 4 lanes. However, if the USB-C dock has a MST hub (such as the CalDigit SOHO) then the MST hub can convert 2 lanes of HBR2 or HBR3 to the 4 lanes of HBR that the adapter requires. An external MST hub connected to a USB-C dock can also do the conversion.
If you have all the correct adapters, then you may need to install SwitchResX to see if it shows a 2560x1600 mode. If not, then use SwitchResX to create a custom timing for the 2560x1600 mode. The details are in the EDID of the display which SwitchResX can extract for you.