I think that actually makes a lot of sense. I got "office hour" now, so basically, I got an email address for official stuff and I don't get notifications for it anywhere. Same with my phone, the number I use for official stuff goes directly to my answering machine without ringing and I don't get notifications for text messages. Then every weekday morning I check those and if there's something, take care of it.
I had to do it this way, because otherwise I would be anxious all day and every message ping would trigger a major panic attack. I noticed that I relaxed a bit after 4pm, when I knew most offices are closed (except one particular agency which, for some reason, loves to send their bad news on Friday night, around 8pm, must be a batch run or something...), and my anxiety and depression are always extremely bad in the mornings anyways, so adding this routine to it didn't make them much worse. This has reduced my stress and anxiety levels a lot. Now, if I could only do something about my mail, hearing that clank...