Gone are the days where we revolve around the TV schedule. My ex-father-in-law talks about the days when Hancock was on TV and all the pubs would empty to go and watch it. Those days are pretty much gone.
This is often claimed but as has already been noted it is not backed up by real evidence. It always strikes me as new toy syndrome: this is a relatively new development, but I'm watching more TV this way that I did when it didn't exist or was less convenient, so if follows that some day all my TV viewing will be done this way. It ignores the way people actually watch their televisions.
When people think about the TV programmes they watch they invariably think of the so-called "appointment television" shows - the kind of thing people will go out of their way to watch and keep their diary free to watch. It tends to be a relatively small proportion of people's real viewing. Some of that can be timeshifted, some can't. The rest of the schedule is not things that people actually want to watch but watch because they are on. Those are not going to be timeshifted.
Look at today's prime time schedule for the main British TV channels. Who is going to make a special effort to specifically watch Heir Hunters or Jaguars Born Free on BBC2? Inside Out on BBC1? Cornwall with Caroline Quentin on ITV1? Wild Things on 4? These will all get tens or hundreds of thousands of viewers simply because they happen to be on. In twelves months time few will remember even having watched them.
There's the soaps - Emmerdale, Eastenders and a double dose of Corrie - that people will make an effort to see. Those could be timeshifted but only to a limited extent - people will want to have seen those by tomorrow for those round-the-water-cooler discussions. Similarly, Miranda, Mrs Brown's Boys or Celebrity Big Brother all have loyal followings but again people don't want to miss out on those discussions at work the following day. Then you have the stuff that follows a very definite natural schedule. Do you want to watch a random match from last year's FA cup third round? Or even the lunchtime news at 7pm?
In short, the schedule isn't going anywhere. Just because everything may be available on catch-up doesn't mean that people actually want to watch it.