'Darken' behaves like 'Multiply' in CMYK mode

In RGB documents, the 'Darken' transparency blend mode doesn't change colours, but only shows a colour if it is darker that the colour underneath it.
In CMYK documents, 'Darken' acts differently. It does the same thing as 'Multiply': it darkens the top colour based on the colour underneath. In CMYK mode, 'Darken' and 'Multiply' seem to do exactly the same thing.
How can I get an object in a CMYK document to do what 'Darken' does in an RGB document - only show if it has a darker value than the colour underneath?
(side question: why does 'Darken' behave like 'Multiply' in CMYK mode? What's the point of having two different blend modes that do the same thing?)
Here's Adobe's official description of Darken. This matches how it behaves in RGB, but not how it behaves in CMYK:
Darken
Selects the base or blend color—whichever is darker—as the resulting color. Areas lighter than the blend color are replaced. Areas darker than the blend color do not change.

Okay, so these two shapes (white stroke, solid fill) with 'Darken' blend mode look like this in RGB mode, which matches the description and expectations:
...but they look like this with 'Darken' blend mode when we switch to CMYK.
Looking at it more closely, it seems like it might be something to do with the different seperations: in the RGB example the overlap area isn't exactly the same as the normal blue as I thought it was at first.
It's also not always exactly the same as multiply as it was the first couple of times I tested: multiply seems to often blend darker.
So is there anything that simply only shows the darker of the colours?

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'Darken' behaves like 'Multiply' in CMYK mode

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