I would certainly agree that is one of its effects. Two specifics jumped out at me:
(1) That God knows all which is knowable; and
(2) That God acts (and thinks) "linearly" or sequentially.
Both of these concepts are key insights to the open theism view. The first causes the reader to focus upon the epistemological question of the limits of knowledge. The second takes us away from misleading questions of the 'measurement' of time to the more important sequential/linear question where some facts are dependent of other, earlier facts.
Your phrase ("...an everlasting succesion of events...") catches the concept well. Perhaps that is why the author posits (at least that aspect of) 'time' as a 'natural attribute' of God.
I do not think one can tell from what is said whether the author is an open theist, but he is at least conversant with the issues raised by open theism.
I'll nod to this: The fact that God is an uncreated eternal being and has all power does not give Him any praise worthiness or value. A big mountain is worthy of comment just for it's beauty, but I get the author's point.
Then he makes the axiomatic statement that "time is a natural attribute of God."
I want scripture for that before I buy it, and I can't come up with any.