If I close the Barclays Hawaiian airlines credit card will I lose the points from the sign up bonus?

Title speaks for itself but basically I've had this card for a year and I got it for the sign up bonus but now I want to close it because I don't ever use it and I don't want to pay the annual fee .

I chatted with them and they said that they won't remove the points on their end but they can't confirm one way or the other and I need to speak to Hawaiian airlines.. not sure what in the world that is supposed to mean.