The Light Emitting Plasma (LEP) lamps appear to have certain characteristics that might make them attractive for use in projectors. More specific, a broad light spectrum and long life. What's not clear from the Luxim web page is can they be produced in the size and form factor that would be needed for use in a projector. Also I wonder how the cost would compare to either LED/Laser light sources or conventional UHP lamps used in projectors.
I emailed the company directly but have received no reply. There must be some reason they are of no use for projectors, otherwise companies would be using them by now. They have been around for a long time. They may lack efficiency compared to industry standard UHP bulbs. That is my guess.