The satellite TV dish on my roof points North, at an elevation angle of 54° from horizontal. It is VERY directional; moving it 1° off-target will result in total loss of reception. This means that any tower would have to be placed North of me, and be twice as high as it was far away (ie a tower 1 mile away would have to be almost 2 miles tall). The tallest tower near where I live is 40km to the East, and a relative altitude of approximately 1km. So what's my dish pointing at?
It's a dish, it can be taking a signal from many angles that a transmitter is pointing to. That's why it's a dish. All it has to do is catch the signal at whatever transmitter is around, so yours like everyone elses will be coming from the nearest relay to you.
Transmitters aren't just confined to a few miles away. If you look around you, you will see one. You may not believe it's transmitting anything to you but then again, if satellites are shrouded, then nobody is going to tell you what's really going on, are they.
Why don't you look up how many supposed satellites are covering the whole of the UK and see what you think.