Actually not joking, six or seven years ago I stopped apologizing for "delayed replies. Maybe if it's really heinous, but if it's a week or less (or I was on vacation!), it's "thank you for your patience!" I'm not going to apologize for not busting my ass above my pay grade. Also how many things at most jobs actually need an immediate reply?
I got a 5/5 on my annual review this year, I'm good at my job, but I'm not going to apologize for not replying to every email every day when I'm actually trying to get work done.
I’m just about to get back from a 2-week PTO. I’ll try this on some of my coworkers.