all RGB inputs (both video and VGA) doesn't have saturation controls (as you already know)
Now, it depends on how your TVset/monitor is designed you don't have controls over the single components in INPUT.
If you rise the RGB gain, ALL the the RGB signals will be raised as well.
If your TV its only used with your Amiga it worth to try.
Use this SPG (Signal Pattern Generator) to check at least, the white balance.
MonitorTest on Aminet
Good luck :-)
EDIT- ah . . . if you have a screen promoter installed (NewMode or so) disable it (or at least select Promote=NO, for the MonitorTest task)