With regard to wireless broadband serving a remote community, I'd just like to say that we have a static caravan on a fairly local coastal site that is covered by BT Wifinity broadband. I can use pc, phone or tablet in my caravan and can easily stream movies via an Amazon Firestick plugged in the back of the tv.
With regard to home broadband, I suffered a good few years with a 1.4Mbs connection (Stakeford, from the dreaded Ashington exchange) and, even after supposedly upgrading to fibre, the 5Mbps connection I was given soon dropped back down to 1.4Mbps again.
However, a couple of months ago, after contacting my provider (EE) and being told it was out of their hands, I contacted a very helpful bloke at NCC who told me, very revealingly that, although Openreach had been paid to supply superfast broadband to our cabinet, in some cases they hadn't made the required connections!
Now sorted and, after contacting EE again, I now have 50Mbps (at the router) Fibre+ broadband. YAAAAY!!!
The moral is: don't believe everything you are told in the broadband world!