I just checked availability on ba.com on the 21 March for LHR-JFK. I need to get a T Class return tix (using my CX points to upgrade to U)

However on ba.com it wouldn't price a T or W Class for hte out bound. instead it only gave me Club World.

I checked on EF and noted that there is one seat on 117

Can you actually have a HL1 booking online and hope it clears out later?