Amy's rhymes

Amy often has a w-like pronunciation for her English /r/, and sometimes vocalises her "dark L"; together, this means that her pronunciations of "arrow" and "owl" are very similar (something like "awwoh").

I thought this was just a pronunciation difference, but perhaps it's also a perception thing; when I asked her today what rhymes with "wall", she said "tall... and door!" After a bit of thinking, she added "floor".

So I'm wondering whether "pore" and "Paul" sound the same to her (like "paw").