"Helicopter parent" is definitely used a lot here in the US.
"Curling parent" is new to me, but as a nation, we aren't really into Curling. You have to have a good image of the thing in your mind for it to really catch on as a phrase.
That said, I think it's a very good image for how those parents treat their children.
Canada is much more into Curling than we are, and I wonder if they use that term.