Well done! I like the idea and how you laid it out. The POV switches work very well, and I like the insight into how differently they think about the same things as the story unfolds. I found myself thinking, "Now if only she said that to him..." (or vice versa), "the misconception could be corrected." And then by the end of the story, they've managed to correct quite a few of their misconceptions - without a word spoken.
'Toc