This is excellent and aligns with my own experience.
During my day I try to minimize interruptions by batching them. I will largely ignore Slack, and as notifications come in I glance and determine quickly if it really is urgent or if it can wait. If it can wait, I will punt all of those messages to a "remind me later" of a few hours, and get back to my task. I think this keeps my "recovery time" small as I'm not looking too close at these messages. It's not perfect, but definitely helps over pausing my "real work" to fully dive into each notification or ask.
Then in your next performance review you get dinged as "not responsive", "not a team player". Trying to work in peace is a in instant loss nowadays, just play the visibility performative game as all the quickly promoted people in office do. Why do you think your management cares about getting things done? If they did they would reward it.