Seems the answer is yes. I didn't change the shape of it very much, but I think it was enough. It looks a lot better now.
You can see how much better it looks than last time. In fact all I've done here is to add a little more definition around the nose and cheeks, but I think it makes all the difference. Sometimes small alterations do change everything.
I've also started to texture the skin under the serpent's neck.