For me, 90% of the reason for going to sea is to get away from all the bad news and stress that comes from the overwhelming stream of information that is part of life in today's world. Free of those distractions our lives are improved dramatically.
I agree entirely. While I intend, upon going offshore, on having the fairly standard SSB/Pactor data capacity (primarily for GRIB files, light e-mail, and cruiser nets), I doubt I will get a satphone at this stage, nor will I have a TV. "DVD Night" will exist, as a treat, dependent on the amps we've made via wind and sun.
Other than that, I don't see a compelling reason to stay in touch beyond whatever is necessary to keep my school-age son current with his land-based schoolwork. And I'm pretty sure most of that can wait for internet cafes ashore.
At anchor, WiFi is usually available casually, to update our mail and to update virus definitions/patches (something I would do before bringing the "ship's laptop" ashore to some cafe/hotspot, anyway), as is cellphone rentals or "minutes buying". If it isn't, I'm OK with that. We're sailing.
BBC World Service will be mainstay for my news fix. Aside from having packages of Practical Sailor/Ocean Navigator couriered to me a few times a year, I'll have to trade paperbacks or rely on PDFs of my favourite books to occupy me when I'm not reading boat repair manual and spec sheets!