I'd just like to say that even though this idea is centered around breastfeeding, I think the additional benefit of increased skin-to-skin contact is just as important. Two birds with one stone!
Cost will be a big factor though. Hospitals are most likely buying the cheapest beds for new mothers, not the best ones. If you can somehow make this bed cheaper than a standard bed then I'm sure it could take off.
Question: How does Mush keep a consistent user base? I imagine that after meeting a few new mothers on the app, many mothers would move beyond the Mush platform to regular texting or emailing. Have you observed this being the case?