Let's just give the Sad Puppies what they're demanding.

Let's look at the Evil League Of Evil's Sad Puppie's demands:

Larry Correia

First and foremost, you guys need to decide, once and for all, what the Hugo Awards really are. There are two choices.
It is the most prestigious award which represents the best works in all of fandom.It is a little award, for one little group of people, at one convention.
You can’t have both. Pick one, stake your flag on it, and we will proceed from there.

Brad R. Torgersen

…So the totem is ours too. We have claim on it. It is “the most prestigious award” for everybody. And everybody agrees on this.
Either that, or change the branding, and call the Hugos, “The little award, for the little crowd at Worldcon.”

So it's clear they're simply asking for offical hugo award administrators to stop using the word "prestigious" on the one place it apears on their offical site.

The Hugo Awards about page

The Hugo Awards, presented annually since 1955, are science fiction’s most prestigious award. The Hugo Awards are voted on by members of the World Science Fiction Convention (“Worldcon”), which is also responsible for administering them.

They're just asking for an edit to one page. Unless that's just a smokescreen to make it look like a barely resonable argument, and not what the puppies really want.

Not to mention that one of my stated goals was to demonstrate that SJWs would have a massive freak out if somebody with the wrong politics got on. So on the slate it went. I nominated Vox Day because Satan didn’t have any eligible works that period.

emphasis mine.