E6 films have the color couplers built in to the emulsions. The color couplers react with the oxidized developer to produce the dyes you see in the processed film. In Kodachrome, the couplers are in the developer. If you ran HP5+ in K14, you may not end up with a full color image because the sensitizing dyes are different. Basic structure of color film is base, red sensitive layer, green sensitive layer, yellow filter layer, blue sensitive layer. The yellow filter layer is there to block blue light from reaching the red and green sensitive layers, as they are also blue sensitive. While HP5+ is also a B&W film, its structure and sensitization are not the same as for a color film.
Now, if you exposed three strips of HP5+ through a red, green, and blue filter, run the red strip through the first developer and cyan developer, the green strip through the first developer and magenta developer, and the blue strip through the first developer and yellow developer, (don't forget to bleach and fix!) of the K14 process, then laminated the three strips together, you'd get a full color image.