Personally, this kind of thing is part of how I control the phone rather than have the phone control me, all of which reduces stress and even increases productivity at a professional level.
An SMS or similar kind of message always gets stored, and I can check it when its convenient for me.
Phone calls only get stored if the other side actually records a voice mail, so there is pressure to pick up a phone call immediatelly, “just in case they don’t leave a voicemail” which might very well be interrupting work on a complex task that shouldn’t be interrupted.