There have been a few of these phone mesh startups (OpenGarden, RightMesh, Bridgefy) over the years, and they all seem to dramatically oversell the abilities of a phone's radio.
Basic physics mean that a network made up of only phones will be extremely slow, even if everyone has the app. Text messages delivered unreliably is probably the best you're going to get in the foreseeable future.
I'm sure it's tempting to embellish the abilities of one's technology to investors and press, but the quote above is obviously false.