http://www.chicagomanualofstyle.org/CMS_FAQ/Capitalization/Capitalization19.html
The rule, surprising to me, seems to suggest the usage of lower case even prior to a name but leaves the door open to a particular editing practice.
I’ll have to check it out. Last publisher I worked with (many years ago) used a different style code, not Chicago. I dont remember which. I also used to refer to my very worn copy of The Elements of Stle”.
Additionally, I made a big deal of always using capital “P” back in the days of my Bill Clinton Joke-of-the-Day Page, even when just using the noun but you understood whom I meant. I think I made a bigger deal out of it the day I decided to stop as he’d gone too far for me about something. (I had been trying to respect the office, even if he wasn’t.)