It is quite simple. The Partly Despecialized Editions were crap - not only because of the fact that they were simple GOUT upscales spliced into 1080p HDTV rips. Mainly the HDTV sources used were already very low bitrate for 1080p and during the process of creating the PDEs they went through two more one pass lossy re-encodes, so the picture quality was awful. And I don't have them anymore and as far as I know aren't available anywhere.

The Despecialized Editions v1.0 are the only version available at the moment. They are nearly completely despecialized, restoring the original cuts of the films, albeit with some minor SE changes left in. The quality is somewhat higher due to it being sourced from higher quality HDTV sources and being a higher quality 2 pass encode in 720p at the same file size (more detail is lost from compressing 1080p to a DVD9 then from the downsizing to 720p as can clearly be seen here).

The Despecialized Editions v2.0 is in the works but STAR WARS will be available very soon. V2.0 will be more thoroughly despecialized, recreating the original theatrical version very faithfully, including the colour palette. This will still be 720p but being sourced from the Blu-Rays and the encoding should be even better than v1.0 with profesional editing software and lossless intermediate being used, the picture quality should be much higher. Plus a larger MKV and eventually a BD25 will be available as well. Later this year I wanna do ESB and ROTJ but I'll take a break after SW.