Saw him live in concert several times from 1994-2001.
Even then he would sit down for the show and either sing, or play guitar, but not do both at the same time. He’d play a song halfway through as an instrumental and come in with the vocal, or lead with the vocal and pick some notes at the bridge.
I’m no expert on BB, and have never seen him live, but I noticed years ago watching videos of him that he never played and sang at the same time. He’d sing a few lines then inject a guitar riff to punctuate it.
I’m not criticizing him, I can’t sing and play at the same time either without screwing up one or the other.
BTW, My favorite “King” was Freddie, (RIP).