Ooh, I had an email in draft asking why you'd submitted the contact form multiple times. I thought you were pretty keen!
Yes, it does work, and the shonky contact form is another one of those nuances of Shopify that we don't have much control over.
Sorry for the lack of response thus far, I'd reassigned the ticket with no thought to how absurdly busy the people receiving it would be.
I'll get you sorted today!