In case anyone is interested:
Just conducted a limited test
Prophoto TIF > Profoto JPG > change colour profile (only) of JPG into aRGB.
Not the same, but for this particular set, possibly a slight improvement, although there appears to be a loss of density where different shades of blacks meet (reduced colour spectrum would presumably create that effect).
Next question:
If the image is viewed via different platforms / computers / programs will viewing results differ? In other words, on my Mac images look consistent when viewed using PM, Lightroom and Preview. Would a person using Windows user see a similar result?