I wrote this on twitter but i'll put it here too; my background includes 4 years in poker marketing & operations for a perennial online site which I won't name to keep things interesting
So unless PokerStars now has something automated built in (which is doubtful BUT they might have some very bright IT guys, or as a backup BI guys who can whip something special up in terms of reporting), refunds are going to take weeks in my opinion if they happen. This would be due to stars having to go in manually and check every stack of every person, of every tournament at the time of the outage.
What happens is, based on TCP (tournament cancellation policy), everyone would ideally be disconnected same time, they stop tournaments after x amount of rounds of every one sat out & chip chop from there. Thus, stacks are not adversely affected. And this only includes based on their policy, tournaments in the money. They will now be dealing with variable scenarios, with potentially variable solutions due to stages of so many tournaments.
My opinion they should not have issued ANY refunds yet due to this. Now it will be extremely hard and time consuming (again assuming they don't have some wild automated way to do this) to reconcile because of how many hands were played after the disconnect. The tech team should have acted much faster on this and they should have held off on their TCP until they knew the entire scope of the situation. Players also deserve a better answer than "we're aware".
I'd say they will probably have to pay everyone out based on their stack chip chop at the time of mass disconnection (out of their own pockets), and I don't see how they can take the money back from the countries who were able to play since there was no fault of their own. Overall if stars doesn't chip chop everyone's stacks at time of disconnect, I would 100% boycott.