The part I watched, they just kept going in and out of one building with a Clefairy for a few minutes. While people shouted in chat about killing Eevee or evolving it. Someone mentioned they released three pokemon??

That 20-40 second lag's gotta make things insanely worse. And I read that was with a forced waiting time before a user could enter anything again.
I also read that the start spamming was stopped, but the game still pulls the menu up every few seconds. Not sure why that is.