Interesting thought. I have a couple of Mole-Richardson soft boxes in strorage and have considered trying them for portraits now that I'm shooting digital.
Before, I dismissed the idea because of color concerns. Not just using type L film, but I'm told that the color temp of the bulbs changes over the course of their lives.
One detail to consider is the brighter light source will cause the pupils to constrict, showing more of the iris, or eye color.
Another thought is the light is less comfortable for the model, being brighter and warmer.
I use modeling lights on my strobes, so being able to see the light ratio is not a concern. And exposure should present no problems, since everything is nailed down. I wouldn't take these beasts on location for a portrait.
Where I do use them is product photography. It allows me to shoot at any f stop I need, and sometimes it was f64. Lately (in the studio) I just use multiple "pops" of the strobes for this.
Years ago, before the whole t-grain thing, I found strobes always made a sharper image on film... not so much a concern for portraits.
Let us know if you try this. I'd love to see the results.