To me they don’t look the same at all save for it being the same demon. And not because of the scale; the scale isn’t why things are different.
Here’s another comparison:
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The eye is a bit different and takes up more space in the recreation; the lip isn’t as big because of it. It has other differences than just that, too, as I’ve mentioned already.
The Mallow hat is animated a bit; it deforms a bit, leaning/stretching sideways instead of what it would do without physics: follow the head perfectly, because it would be completely solid. I doubt it’s animated over the footage because it’s clearly ingame. It’s not like the messed up ones people have made: those act just like normal hats, staying solid in their position relative to the head and don’t snap back to the top. That isn’t what was going on in those pictures, those were bugged out hats.