Probably won't be any different, if that makes you feel any better.
Now that the Big Red Cancellation Button has been pushed, both sides obviously are going to have their little 'rumour control' sessions to keep their respective constituents singing as one voice.
The only difference I would suspect will be whereas the BOG meeting will likely touch on what their next move will or should be, the NHLPA's meeting will likely be more about "what if" scenarios. Right now the PA can't do much of anything other than wait or make a new offer which they won't do, so I would say they're more in a reactionary mode...waiting to see what the NHL does and respond accordingly.
At the end of the day this is the owners' lockout. They are the ones who must ultimately decide where they want to go with this.