It's not "half term" now. Half term is literally halfway through a term - summer/Easter/Christmas holidays mark the end of a term.
One half term break is in October, between the summer and Christmas holidays.
One half term break is in February, halfway between the Christmas and Easter holidays.
One half term break is in late may, halfway between the Easter and summer holidays.
Then you have actual holidays that come at the end of a term, and a new term starts when school goes back afterwards.
It seems like over the last couple of years I'm seeing all holidays referred to as "half term" and I know it's hardly a big deal and yes I'm also worried about nuclear war and child poverty but it still annoys me a bit!