Compassion fatigue is a real thing, just not for terminally online performative concern trolls. Where it actually happens is in people like ER nurses and doctors or combat medics where they are constantly bombarded by severely injured and traumatized people and can end up completely indifferent to the suffering of the people they're dealing with. A friend of mine had to quit ER nursing because she wasn't responding in a remotely human way to people coming in. The breaking point was where she had a child with 3rd degree burns come through, screaming in understandable agony, and she realized later that her entire emotional response was "christ this kid is being annoying."
Twitter addiction can't lead to that sort of shit.