The truth is that the SBC is willing to do this in order to try to maintain status.
This is not a new idea and the recent riots are not the cause of discussions within the Southern Baptist Convention looking to change the name. Nor is the idea of "fellowship," etc.
For years, this has been under consideration; and the reason was that, in a time when churches, the SBC included, are losing members, it might help to make the name seem less regional. The hope has been that a new name will make a potential joiner think of this denomination as more important and nationwide in scope, especially to people who live somewhere other than in the American South.