I suspect the best hybrid strategy, for those who feel dates complete a duty to the reader, is to put the date in small, low-contrast text near the bottom. Perhaps also, when minor edits occur, update one or more similarly-subtle 'updated' dates. That emphasizes the material is not obsolete/stale, but live reference material still maintained.
I do agree that the date doesn't need to be right alongside the byline but an indication of date somewhere on the page is important.
Edit: As for people who devalue something purely because of the date, are these readers you really care about? I suspect there are annoying readers just as there are annoying customers.
At the very bottom, just before the backlink to the home page, I have (in a smaller font size) something like "Original publication on March 2nd, 2014, last changed on March 16th, 2014".
I don't have anything to hide, so it's there, but I don't see any real value in it for the reader. So I effectively buried it.
http://paulgraham.com/identity.html
I think the cheap feel to blog posts partly comes from exact date (and time even) that's often shown on each blog posts.
These sites also tend to have very obvious markers saying "this information is no longer maintained and only for historical reference" or "this information is no longer maintained but the new equivalent is here" where appropriate.
Personally, I find the indication that the information has been checked recently and is still current to be more important than when it happened to be published for the first time or when it was last changed.