Beacon of handsomeness
In actuality, Lex's mask which contained divinity and was not a technique was called the Invincible Tyrant Mask. The divinity it contained had a lot to do with intimidation and fear, since the divinity was born from the fear and worship the devils he faced felt. Compared to Notorious Anonymity, which just looked devilish and hid his identity, not only was it much stronger, but it also served the additional purpose of spreading fear on those around him - though he might not always want that.
But at this moment, when his Inn was filled with those who were so blatantly planning against it, he wanted exactly that. He knew that this wouldn't end until someone actually attacked the Inn and were made an example of. That was the sad truth of things. But maybe the intimidation tactic could work, who knew?