King should have had his own spies out to check on LBJ. Lyndon had more women than a sultan, and this was not covered up very well. All he had to do was talk to some Texas Observer reporters to get the dirt he needed.
I haven’t delved into it too deeply.
LBJ liked to impress people and show off. He courted the media including calling them in for late night drinks including the female members of the media at the time.