Part of what you have to remember is that fan edits gain their "legality" (even if it is in a gray area) through being an active criticism, by providing what it SHOULD have been.
If you forget the prequels were ever made, and go back to loving the OOT... can you honestly tell me that a Prequel Trilogy should have been made, with the intention of always watching it after the OT? In my head, that makes no sense. When I'm given a 1-3, I expect to watch it before 4-6.
With that in mind, consider the amount of effort Ady has and will continue to put into these edits. Truly, almost anything is possible. Why wouldn't we strive to fit the PT to the OT so that 1-3 are able to come first without screwing anything up? And on Occasion, give the OT a tune-up - George has been changing things to try and match continuity, so Ady's "criticism" of these films is trying to show how that continuity should have been integrated.
I struggle with the idea of removing Skywalker because we have:
Padme Amidala
Jar-Jar Binks
Qui-Gon Jinn
Obi-Wan Kenobi
Mace Windu
Ric Olie
Nute Gunray
a whole bunch of characters who only are referred to by last name and title
... and Yoda because... well, he's Yoda.
It doesn't feel right to me to only ever hear "Anakin".
When he comes looking for his mom in AotC... "Mi boscha Shmi" sounds awful without Skywalker at the end.
I don't think you even hear Luke's last name except once in ANH... I just don't think it's "given away" nearly as much as people are suggesting. I think there is just enough there to get you curious about it. Personally, I like it that way.