I agree with the others. Goathead it doesn't matter if the other members are on Ws or not. as operating crew they get to pick the rest they want, as an SO or Relief FO your job do what's left. Its nice to know in advance but as relief you have to assume the worst rest. Its always been that way and always will, that's the job description. its even in the title "Relief Pilot"
Im relief and have been for too many years to count. I'm also on Ws and have been since joining, I for one never complain about whether the CPT takes the best rest or not, even if its my sector, hes the one that's name is on the CFP.
Flying with commuting guys can be great especially if they are on a different time zone from you. While commuting I was always offering to do the late night stuff as it was the same as an early morning for me, worked a charm.
If you don't like being Relief then request going onto the 330 or get a job flying 737s or 320s. If your an SO then you need a big attitude adjustment as your job is there to do the late night stuff, its not like your roster doesn't allow plenty of time to prepare for the duty!