Hmm the liberties of both groups aren’t high at all.
I have a hunch that the Rule goes in a direction like “When black and white groups touch each other, there must be so and so many white groups involved”.
That changed the Koan to red:

Hmm so touching does matter a bit or it is just the liberties lost caused my touching.
Are you asking for confirmation or would you rather keep puzzeling without certainty about this? 

I lack the imagination to come up with more than one at a time.
So with reversed colors , I still think it would be red.If it isn’t there is a big part of the rule we are missing.
Don’t worry, coming up with Koans is an important part of the journey!
This one satisfies the rule!

I’m quite convinced by context that chains are involved, but I’m not sure about liberties. I guess I’ll ask for confirmation:
- Does the rule use the concept of chains?
- If so, does the rule also use the concept of liberties?
Wait so why did a simple color change change the rule?Maybe white has to have something more or less then black?

If I did not count wrong , both groups have five liberties which is the same.
Hm … do you know how to make a “show” button that reveals text?
The way they touch is different. With black as the big spoon, there is a single white stone touching only one black stone, but with white as big spoon, the surface touched by white is larger.
Yes go to the settings icon thing then press hide details.

I will make this wiki so you can see command.
Summary
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So that is still a specific rule that color change will apply to @Sanonius
Love the spoon terminology ^^
In case someone would rather keep puzzeling without confirmation, I’ll hide it.
Answer
The answer to your questions are:
- Yes
- Yes
Both of these are red:
