There is another fan project called “4K77”, which also attempts to restore the original version of Star Wars. They somehow managed to get their hands on the original film reels, and scanned them digitally in 4K. It looks very grainy, but this is to preserve the original experience of watching the film in theaters in 1977.

So if you want a modern-looking and cleaned-up version of the original “New Hope”, then watch Harmy’s Despecialized Edition (keep in mind it’s only 720p). If you want the genuine '70s theater experience with the film grain and everything, watch 4K77.