I've had decent success establishing in my workplace that I check email in batches a few times a day.

If you want me immediately, call me, message me, or walk over to me (well, pre-COVID, anyway).

I'm confident I'm not as distinguished or successful as Donald Knuth.

I would take a middle of the road approach and say that you should be incredibly sparing with who you give your email and maybe have a custom spam filter so you only get a few really important emails per month.

I generally don't reply to unsolicited email, giving up on billions of dollars in inheritance money from my Nigerian relatives.

If I can do it, so can you.