The longer I do this, the more I suspect that a good part of the "information overload" story is a myth cooked up by folks who don't know how to use the internet well in order to demonize something they don't understand.
And my two cents on the matter:
Productivity is, in a sense, meaningless. Those things which are important to you, or your boss, or your client, as the case may be, get done. Those things which are less important fall by the wayside. In business, most (but not all) things that rise to the level of "important" involve relatively larger sums of money. The above holds true in your personal life as well. If someone tells you they're "too busy" to get together, etc., they're actually informing you (politely) of your relatively low placement within their internal priority list. No reason to be bothered by this--it just 'is what it is', as they say. Everyone does it. People make time for what's most important to them, whether they admit it to themselves or not. So forget about productivity--just get done what's important to you. If you're not satisfied with what's getting done, revisit your priorities.