From what I can make out, the survey resulted in fans ranking the features of crest in order of importance:
1. Tower
2. "Nil Satis Nisi Optimum" text
3. "Everton" text
4. Shield
5. "1878" text
6. Laurel Wreaths
I found it interesting that a lot of people did not want the club's name on the badge, I was one of them.
"Whilst significant numbers of supporters taking part in focus groups felt Everton's Crest should ideally be recognisable without the inclusion of the name, more participants agreed that the inclusion of the name was important to "broadcast" Everton effectively: to other football supporters, in Europe and internationally, with sponsors and through merchandise and to potential new supporters. "
From a design point of view, I think the crest would look better without the "Everton" text. I've seen several people say that they don't like the style of 'Everton' lettering (the font is known as "Matrix"), personally I do like it, but I think that a better font for the Nil Satis Nisi Optimum text could have been found.