I foresee a problem. Well, maybe, in this semi-fantastical scenario:
The reason (or a reason) why the Bitcoin blockchain is resistant to double-spending is that an attacker would have to recreate the blockchain back to its beginning, which is computationally infeasible.
In the event that SAFEnet collapses, there won’t be an existing chain that is linked to all the data that was on the network before the collapse, but a lot of fragments that are being pieced back together. So a well-equipped adversary might have a large number of computers ready to go in the aftermath of a collapse, and proceed to construct plausible chains with fictitious information, claiming to be the real SAFEnet.