Thanks for taking the time to quote the relevant parts of the man page, but I actually read them all multiple times before posting, and did lots of experimentation to try to resolve ambiguities in them, and finally concluded either the manual is wrong or I am missing some interpretation of them. The manual does not seem to to match my experience. So I still don’t have an answer to my question.
One problem I had is that the relationship between the described internal ring of windows and the WindowList menu is not stated. There’s evidence that they’re related and evidence that they are not.
Another slight ambiguity is reference to something called “the WindowList”. It’s not defined. But I know there is a command called WindowList and it has a menu that is a list of windows, so it’s easy to assume a connection there.
Another ambiguity is that a ring has order, but generally has no beginning and end. But since the manual invokes a concept of a cursor, one might interpret that as the beginning of the ring. Rotating the window therefore might be considered changing the order of the ring or not. The WindowList menu has an obvious beginning and end, since it displays as a linear stack. Maybe the top of the list is supposed to be that cursor; maybe not.
The The Ring Of Windows section mentions that this ring has direction, too, but in describing the order (creation time or focus time) doesn’t say which direction is which.
I did not find anything in the manual telling what effect moving the mouse to focus has on the ring. My experiments show it’s the same as a Focus command.
Finally, by any definition of terms I can think of, if “the WindowList” and the “internal ring” are related at all, the description under “Ring Of Windows” contradicts the description of the Focus command, because using Focus appears to make the order of the ring neither the order of focus nor order of creation.
My point in all of the above is just that a) there is room for improvement in the manual (which might avoid questions like mine or at least make them easier to ask); and b) I still don’t know if I can make mouse focus not affect relevant window ordering. “No” is looking more likely, but it does seem like a natural capability for FVWM to have.