I know this doesn't affect the trains directly, but surely it's something they have to take into consideration, especially during their announcement of their plans until 2060 god damn it.
London keeps boasting "best city in the world, best city in the world", yet its citizens are under increasing work pressure, and simultaneously cannot send or receive emails during their daily commute.
Sure they have wifi in the stations, but by the time you login (assuming you're paying because see, it's not free) you train has arrived.
I remember my holiday in Tel Aviv. I was skyping on the beach, on public free wifi.
Then I return to London, and nope, back to being offline, while on my way to a high tech job. And we're supposed to be a cutting edge city? Explain how.
On the subject of current station wifi - who has to pay? Certainly for me (Vodafone customer) I get it free, it's still provided by Virgin but they give a semi-whitelabelled login page for Vodafone (I don't have to login, it just takes 10 seconds when it opens the authentication page and verifies me on the network). I also find it great (albeit not as great as solid coverage all along the line) to be able to hook back onto the network as I travel through stations. It doesn't require me to re-auth each time, so essentially every minute or two my phone can sync emails, twitter, whatsapp, etc. leaving me the actual driving time between stations for reading/responding as needed.
They should have WiFi hotspots in each train so you wouldn't be reconnecting every 5 seconds as the train moves. Also it's probably easier to connect train to whatever central network pipe.
[1] http://metro.co.uk/2013/01/09/london-underground-turns-150-t...
Also, consider that the "small" benefit for the local train is applied to millions of people a day. That'll add up to lifetimes.