Besides the obvious tin-foil hat, privacy, and security concerns that people are going to mention, the people that created this idea overlook something fairly important. In my area, if something was severe enough to knock out all of the cell phone towers within range of a cell phone, then the power grid and/or internet connections are almost certainly down in that area. Without power, the routers are not going to be on. The Internet connection may or may not be important, depending on how they want the communication to reach the headquarters.. if they intend on using voip over the Internet from the router, then it will fail. These concerns may or may not be an issue in other areas. In large cities, cellphone towers may be overworked in an emergency... but the likelihood of the towers in my area becoming overworked is quite small.
I think the better idea would be to either find a way to give first-responder/emergency workers a way to gain priority on the towers, instead forcing router manufacturers to waste time and money to incorporate something that will not only be fairly useless in most cases, but will also open a number of other concerns.