I can only assume its a MN snobbery thing about Sky
I agree. There's an inbuilt prejudice amongst a lot of people that Sky is for 'council' people (and another word beginning with 'c') and not for 'decent' folk. It's a bit like 'flat-screen TV' used to be used by tabloids as shorthand for 'rough, undeserving benefits scroungers', when now there's no such thing as a 'flat-screen TV' as such - it's just a TV, like everybody has.
Plenty of us don't have Sky for premium channels and endless sport/films/poor-people entertainment when they should 'jolly well be at work' - it's just the most reliable method for us to receive an acceptable TV signal for normal TV. Even for those who do like all of the sports and lots of additional/premium content, why on earth should they be looked down on for getting it via Sky rather than Netflix, which appears to be 'acceptable'?
I always think the same when people pompously slap others down with "Oh, is that something you read on the internet?" - as if the world's primary communication and information source were somehow totally eschewed by all of the governments, councils, official bodies, global experts, world leading organisations and generally 'smart' people. Just because your own world, sphere of understanding and likes/dislikes may be severely restricted through your own choice, doesn't mean that everybody else must be wrong or similarly limit their own lives.
I think if OP had just said 'my TV signal', some of these replies would have been very different. I really cannot see why it's OK to just deny your neighbour access to a basic utility - for the sake of tidying up a few stray branches (which were NOT there before the people involved were born) - branches that aren't even over your own property.
If the roots of a massive tree were starting to interfere with OP's gas pipes, would people just say "tough, because trees" and tell her to rip out her central heating and buy lots of expensive little electric heaters instead? Water pipes? "Why are you complaining when you can buy bottled water for only 8p a litre?" etc.