I think that tea should be a social thing, a lot of the time and the few times I am with my British family, I do adore it how someone always goes and puts the kettle on for everyone.
My parents do too, but they drink their tea very differently than I do, (green and very weak) so we don't tend to share it out.
No one in my immediate family likes tea, and sometimes, out of a sense that tea should be sociable at least some of the time, I offer my kids some. NEVER any takers, they just don't like it.
Now don't get me wrong, I still love my cups of tea, but sometimes, it is just better when you're sharing it.