There is no big benefit to society in providing high speed broadband in every nook and cranny of the country.
Brendan
There are certain things that (so called) developed countries have: universal access to clean water, access to electricity, access to free education, access to transport networks (roads universally, rail and air to larger centres of population), the list probably goes on.
Whilst in each case you can say at the micro-level lack of any one of these isn't necessarily going to hinder economic activity, taken as a whole just look at the difference they make between countries that have these things and those that don't.
You can be quite sure that when each and every one of them was brought in, voices would have been heard: "why should my taxes go to pay for someone else's benefit?", or "why do they need that, can't they live just was well without"? or "all people use the roads for is to drive to the pub" or whatever. The benefit at the micro level is certainly huge for the individual, but experience has shown they also benefit everyone at the macro level, by virtue of being universally available.
In each case, the infrastructure didn't just happen at the behest of the modern God we call "the market": it was driven through at a political level, with the possible exception of the very early railway network. Similarly, adequate universal broadband has not just happened.
The only question I'd have is does high speed broadband fall into one of the key universally available infrastructures that are defining characteristics of developed economies, ones that have the ability to develop further and faster than those without it. For sure that's a debatable point, but if it's accepted that yes it is, then to achieve universality no doubt subsidies will be required to put it in place, as if they weren't it would be there already.
Arguments such as "why should I pay?" don't make a lot of sense to me: it's logically the same as saying the electricity, road, education and other key infrastructures should be retrenched to a core that can afford it due to population density. Do you really believe such a strategy would be good for the economy as a whole?