One of the primary reasons, AFAIK, that they banned mobile phones being switched on on flights due to concerns of their signals interfering with aircraft equipment. Whether that actually have any substance I don't know, but I always put it down to safety concerns, not convenience and respect of the passengers. But this is using the normal mobile GSM bands, not wifi or satellite.
Some flights already have wifi connection for internet though, and it seems to be getting more and more widespread. No idea on the charges involved for other airlines, but when I was on Emirates, the charges were cheaper than some of what ISPs on the ground were charging for their mobile data (I think it was $1 for 500MB something like that, WAY more than enough for your inflight needs, especially for the cost involved).
Some flights already have wifi connection for internet though, and it seems to be getting more and more widespread. No idea on the charges involved for other airlines, but when I was on Emirates, the charges were cheaper than some of what ISPs on the ground were charging for their mobile data (I think it was $1 for 500MB something like that, WAY more than enough for your inflight needs, especially for the cost involved).