CST explicit output gamma Intermediate vs Use timeline

Hi all!
I'm trying to rationally learn some fundamentals of Color Grading in Resolve, v18.1.
One thing I can't manage to justify and led me to reach you out here (I'm afraid I'm a person who can't get pass an unanswered "why"
) is the following:
I have a project set as:
I import a scene shot in S-log3.Cine/S-log3.
In the color tab and I add a node, apply a CST and try two scenarios. In both I set Input Color Space and Gamma to S-Log3.Cine/S-Log3.
Result, the preview changes quite dramatically.
I wonder why should that be? I would intuitively expect no change whatsoever.
Thank you!
I'm trying to rationally learn some fundamentals of Color Grading in Resolve, v18.1.
One thing I can't manage to justify and led me to reach you out here (I'm afraid I'm a person who can't get pass an unanswered "why"

I have a project set as:
- Color Science: DaVinci YRGB
- Timeline color space: DWG/Intermediate
- Output color space: Rec.709/2.4
I import a scene shot in S-log3.Cine/S-log3.
In the color tab and I add a node, apply a CST and try two scenarios. In both I set Input Color Space and Gamma to S-Log3.Cine/S-Log3.
- In the first scenario I set Output Color Space to DWG and Output Gamma to "Use timeline" (which should be DWG Intermediate, right?).
- In the second I set Output Color Space to DWG and Output Gamma to DaVinci Intermediate
Result, the preview changes quite dramatically.
I wonder why should that be? I would intuitively expect no change whatsoever.
Thank you!