Why go to such convoluted lengths when it would be so much simpler, safer, and more efficient just to put the warp engine in a separate module from the crew section?
Because using a separate module would be a half-measure?
I mean, we aren't necessarily talking about protecting the crew from 500 degrees celsius. We could be talking about stopping the core from melting everything around it with a heat wave worth 12,000 degrees. When the engineers devise a technology to stop
that (or, rather, to make use of that), the effort of protecting the crew becomes trivial in comparison: it would be folly to
also use some sort of an insulating wall between the reactor and the shirtsleeves crew, when it would never truly suffice for the job and would merely add unwanted mass.
That aside, we could take TMP as showing us the rarely accessed inner sanctum of the
Enterprise engine room. It would only be because of the ongoing tests that there would be any personnel in there at all: in normal operating conditions, Scotty would don pajamas and monitor the activities from a comfortably air-conditioned room not unlike the ones seen in TOS. The consoles in the radsuit-only area would be for periodic maintenance and testing only. We do get that "blast doors closing, everybody evacuate" scene when the ship first gets warp-underway in the movie.
ST2 would feature essentially the same: there would be personnel next to the core only when the darn thing breaks down once again. So it would only be the new, "better insulated" TNG-style core installed in the E-A that would allow for non-emergency proximity...
Of course, we could and perhaps should ignore Probert's original idea that the swirling blue-white mass we see is the active part of the reactor. For all we know, the heat-producing reactions take place somewhere deep in the bowels of the ship, in a separate armored chamber not unlike the TNG ones, and the vertical shaft merely carries the energies in some not particularly hot form.
Timo Saloniemi