I'm not sure I follow why 'I flipped them'.
My understanding a shared library is closer to an executable than it is to an object file, so it is in that sense that it is "prelinked and ready to map into memory" just as an executable is. (Once loaded dyld still has to do fixups in the GOT, but that's not touching the text segment.)
I mostly agree with your definitions, but you _can_ create a shared library out of a static library assuming the static library was compiled with fPIC, no? I mean I've never tried it but most linkers seem to allow it [1], and given that creating a full executable is similar to created a shared library, I don't see why it wouldn't work.
And if the code wasn't compiled with fPIC, I still feel that it should be possible in theory since the whole point of object files is that they support relocation. Linking a non-PIC object to produce a shared object would just require patches within the text segment at runtime right? Modern linkers probably don't like doing this for security reasons. But otherwise seems isn't some fundamental limitation, just modern OSs and linkers not supporting an obscure use-case with security risk.
When people say that you can't convert a shared library to a static one (or equivalently statically link against a shared library), they usually cite the lack of relocation table info as the reason. Like they have some hierarchy in mind that goes from source code -> object file -> executable/shared library, and so they say it's "obvious" that you can't go the other way. Which is mostly true in terms of the "golden path" and what you'd want to limit yourself to for production, but in a hacker sense you can obviously go the other way with assemblers and decompilers.
So if someone claims that it's impossible to convert a shared library into a static library, there better be good justification for such a hard claim. And on the face of it, the claim doesn't seem watertight because the _stronger_ claim that you can't convert an executable back into recompilable code is falsified by the existence of decompilers that lower down to LLVM IR.
[1] https://stackoverflow.com/questions/655163/convert-a-static-...