Just following this through since I was interested to see this price as well. I did a search on ITA Matrix for April for pricing up a HNL trip from any of the major ex-EU origins including OSL and I've found this:
BRU-LHR/LCY-JFK/EWR-LAX-HNL for £1,415 and 1340 TPs
Anyone fancy filling their boots? I'll post this on the TP Run thread as well.