The 50th Floor was the only place where mortals and immortals could interact within the Tower outside of the Neutral Zones. Because of this, it was a place where many of the greatest Societies of the lower floors erected their main palaces and bases.
Naturally, the three Societies that Atlas met geniuses from were also located here.
There was a great uproar within Euryale and Sky Garden after their geniuses died, but with no way to affirm how it happened, they could only assume that they weren't good enough and died in the trial. There would be no justice for them if things remained the way they were.
The scene at the third was the opposite. They knew exactly how their Akia died. They saw the final moments of his life, and they were not willing to let this grudge die without doing anything about it.
"The Serpentseal Mark has moved into Vanatos. That Ascender has not chosen to climb the Tower immediately."