What I don't understand is why they would let in someone who is clearly dressed in costume when people have come to watch a theatrical production, as I'm sure many audience members would have assumed it was one of the Globe's questionable costume choices until they realised this guy had no speaking part.
If I went to the theatre and saw someone in a gimp suit, especially somewhere like the Globe where they often have batshit costume choices and cast members are often planted in the crowd and/or frequently enter the stage by making their way through the audience, I would assume it was part of the play.
Aside from the Globe's duty of care to its audience, it has a duty to its actors not to subject them to these kinds of issues (of someone trying to upstage them, to interpret the scenario in the most charitable way) when they're trying to do their jobs.
Can you imagine having worked so hard on your craft to get to perform at the Globe and then coming out on stage to be confronted with a random masked audience member in a gimp suit? It sounds like the actors did a fantastic job of ignoring him and showed great professionalism in that, but why on earth should they have to perform their role under such challenging conditions that so disrespect their craft?
It must have felt incredibly intimidating for the actors (and audience) as you have no idea what this man is planning to do, and he obviously has zero regard for letting the actors present the play to the audience as they'd planned to, as he knows his costume will distract from any suspension of disbelief.
And if he doesn't care about the play or the actors or the audience, which is evident from his selfish, upstaging clothing choice, then that begs the question "why is he there?". The absolute best case scenario is that he's getting some sort of power thrill and/or sexual kick from it. But he could be planning anything. He could be dressed that way because he's an escaped criminal who needed to hide his identity or anything. I bet everyone was so relieved when the play ended and they could all conclude that he was probably "just" a fetishist.