In response to North Korea’s recent test of a nuclear weapon, according to most news outlets, “the United States reportedly planned to send two nuclear-capable supersonic bombers to the South in a show of force against Pyongyang”. (USA Today)
With the removal of nuclear arming and fusing hardware on all B-1s in 1995, the aircraft is no longer capable of delivering nuclear munitions. I suppose that they could be re-equipped to do so, but this is unlikely.
It’s more impressive to refer to them as “nuclear bombers”, but surely the North Koreans are aware that they aren’t nuclear capable — it is public information, after all, and presumably Pyongyang has spies out there who can read.