The edit is fine. Let me add that 'the' totality fact may be a misleading locution. Nearly every model that can be analyzed factwise contains its own totality fact, and which model we're in will change what the 'totality' is, hence what the shape of the totality fact is.

We can be confident that there is at least one fact of this sort in reality, simply because trivialism is false. But GRTd does constrain what that fact will have to look like: It will have to be purely logical and physical, and/or derivable from the purely logical and physical truths. (And the only thing we could derive a Big Totality Fact from would be other, smaller totality facts like 'there's no more square,' plus a second-order totality fact.)