I only check a book's date when I'm trying to find out which edition I'm holding in my hands. It happens about once or twice times a year that I want to know that (admittedly more often in the last year since I was citing books in an academic setting).
Otherwise some imprecise idea about the publication date (Which decade? Possibly even less granular) might be interesting, but it's usually obvious from the layout, typesetting and so on.
I've really never wanted to know if a book was printed in 2008 or 2011, just to put the content into context.