I have former employers where CYA is important and don't trust anything not in writing. Will that work be done by the first of next month? Verbal yes means no, verbal no means yes. In person or on the phone. However written communication is solid as a contract. Written yes means yes.
An interesting aspect of primate dominance rituals at companies with too many managers is demonstrating dominance by asking someone of lower caste to ask someone for you, and the top dog wants proof by a screenshot or forwarded email or whatever, not "yeah I talked to him and he said...".
Operational concerns about demarcations apply too. "I gave that customer problem to XYZ when I passed him in the hallway" is too unprofessional and results in poor customer support. I gave that customer problem to XYZ in written email format is very hard to "accidentally" lose or forget.