It will totally work and likely taste better. After you put them in the mold, I would roll them lightly with a rolling pin if they're not already thin.

Wonton dough is fairly simple to make and is similar to egg pasta recipes. This is important because not all doughs roll well through a pasta machine (trust me on this!). But the thing that makes wontons wontons (and not ravioli) is the hand folded shape (of which there are several varieties). Why not make the dough and hand fold?

PS I saw your response about eggs in the recipe in my email feed, but don't see it here! Anyway, I'm glad you mentioned that, my first thought was that the dough would be made of nothing more than flour and hot water, maybe some salt, but every recipe I've been able to find (including my home collection) says to add eggs. These should fry well (unlike rice paper, that does NOT fry well, trust me on this again!), just don't roll them too thin or they will be too delicate to fry (but steamed dumplings with thin noodle, yum).

You don't need a ravioli mold as such. Perhaps just use pastry rings to cut and then pinch to close and shape. Once in Italy I was assisting a chef on his Sardegnan style ravioli (which are beautiful) and he told me mine looked "troppo cinese" or too chinese, like won tons or dumplings.