It is so flexible that God themself couldn't collapse that balcony.
Lol! I see what you did there
While i agree that these types of structures are built to flex, it'd still make me really uncomfortable to be either on that balcony, or underneath it. Accidents can, and do happen, and you just never know when physics might decide, "You know what, I'm not a fan of this song, so, time to buckle!" I'm kidding, but it's always unnerving seeing things that our brains are conditioned to view as stationary, moving like that.
I live in LA, and I remember back when I worked at Vivendi, in their El Segundo building, there was an earthquake, and, for like, a good 1-2 hours or so, our building was just swaying afterwards. The earthquake wasn't even really near us from what I can remember. But we were on the 15th or so floor, and looking out the window, you could tell the building was swaying. Additionally, it felt really weird trying to walk around the floor during that time! Like, I'm generally not one prone to dizziness or motion sickness, but it was fascinating how my equilibrium was affected by the building sway, even though it wasn't egregious swaying. Just enough to make me a teensy bit unbalanced.
Not the most enjoyable experience I've had, though I've definitely experienced plenty of earthquakes over the decades I've lived here lol