Maybe everyone else already figured this out? But just in case.
Sometimes when I save HTML from the Fit Model platform the profiler is not interactive, and sometimes it is.
In my hands, when there is a formula (e.g. a transformation) in one of the X or Y columns the resulting HTML profiler is not interactive.
If I clear the formula, leaving the transformed data, run the model, and save the report as HTML, the profiler is active as expected.
-B