You did not mention aspect ratio, but I assume 16:9. The Lumagen would be used for upconversion and dynamic tone mapping of HDR. Also could be used for calibration, since it has better calibration controls than the Epson. Like earlier posters said, I can't see buying a 6050 and then pairing it with a Lumagen.
Now I do use a Lumagen in my system, but I have it paired with a JVC on a scope screen. So I am using the Lumagen for auto aspect ratio control, upconversion, scaling for my DCR lens, projector calibration and HDR dynamic tone mapping. When used for all of that, it is easily justifiable.
With that said, I would also look at the JVC native 4K models, RS1000, RS2000 or RS3000. Heck for the price of the 6050 and Lumagen, you are getting close to JVC RS3000 territory. With the new firmware update JVC just brought out for HDR tone mapping, the JVC is even closer to the Lumagen in performance.