Make Gina DePalma's Zucchini-Olive Oil Cake with Lemon Crunch Glaze instead.
I made this yesterday. Another winner from her book, Dolce Italiano.
The batter was very wet when I poured it into the pan (no need to "smooth the top with a spatula"), but with an extra 20 minutes baking time, it was perfect. Many bloggers say they didn't bother with the glaze -- but do it. The glaze and the walnuts take this up several notches.
On DePalma's recipe, she says she uses the small holes on her box grater, so the zucchini "disappears" into the cake. The photo on this website uses the large holes. Personal preference.
Also, in step 3, she says beat until fluffy. I don't see how something so liquid can ever become fluffy, so just beat till thick and smooth, like a custard base.