As I'm not into "authentic" sounding amps and their respective models (even if I don't mind great sounding authentic models), I have to agree with each and every of your points.
However, if technology was there already (which it apparently isn't yet), I'd love profiling to capture some rather obscure stuff. Think about, say, a split up signal, divided into frequency bands, each feeding individual amps with rather completely different gain structurs, tone stacks, additional drives, EQs and compressors, etc. If you created something like that in whatever modeler allowing for it, it'd be a tremendously different task to keep track of the entire shebang, so I'd rather just consolidate everything in one handy capture.
Not sure when we will see capturing tech to cover all these possibilities as well...
However, until that moment, I will continue to chose my modeling devices based on usability (I'm getting plenty of great tones out of pretty much all of them).