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The Windows distribution comes with the docs in a very nice Windows help file .chm form. When displayed, they is a left side bar with a Contents tab. The top entry is 'Python vx.y documentation' followed by 'Python Module Index' and 'What's New in Python' and so on down to 'History and Licence'. Everything on the "Python vx.y documentation' page is listed in the Contents EXCEPT the General Index. Consequently, if one only uses the contents lists, one might not even know it exists. In any case, it is harder to get to than anything else.
I presume the omission is unintentional. In any case, I would like to see it fixed, with 'General Index' added right after the module index entry. I presume this should be easy for someone who knows how the contents list is generated.

I can't say I'd object as such, but the [Index] tab already
contains the items in the General Index and is arguably the
killer feature of the CHM in any case.

I had not really noticed that the Index *was* the General Index. In trying it out, I discovered that double-clicking on entries with multiple links in the General Index, such as 'name,binding' with 7 links, brings up a sub-box with all seven.
So I will close this at least until I decide that I would really want the addition enough to help make the change.