I'm a bit late to the Nozomu stuff but what I thought was that Saki named her child after Nozomu the god. I remember that Saki was mentioned to be religious in some event and with the exposition from Touka about HOPE being a god that was worshipped in Kumon-Mi's past it makes sense to me that Saki was a follower of HOPE but knew him by the name of Nozomu and then when her first child was born chose to name him after that god. Its a lot of speculation cause we know little about either Saki or Nozomu (the brother) but I do think its something to consider.
Edit: Funnily enough the moment I continued my replay of the game I found Yasu saying this in Frankincense & Myrrh.
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This is in reference to the divine game of tug of war going on between black and white, meaning that Saki most definitely knew about the conflict between the gods. The fact that Yasu doesn't hate her seems to imply that they worshipped the same god? It's a bit of a stretch but Yasu hasn't been very open with accepting the other gods and so she'd probably hate someone who worshipped one of the other 2/3. It also sets up an interesting idea, in this event to me it seems like the rope that is repeatedly being mentioned is Akira, the fact that he's being used as the puppet in this divine game seems to back up the idea that he's the rope in this analogy. If that is the case then did Saki know that Akira was going to play this pivotal role, did she assume that Nozomu would play it instead? In the halloween battle between Yasu and Rin, Yasu reveals that Saki didn't like Akira for whatever reason, was it because he was going to end up playing the role of "rope" in the divine game of tug of war, did she want Nozomu to play that role instead? Or am I massively over reaching and these things don't tie into each other at all. No idea, just wanted to get my ideas out there.
Edit the second: I really should finish the event before I post.
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it seems quite clear to me that this means that Saki was a follower of Nozomu. Yasu then goes on to mention how Akira was forced to crawl in the dark when the light began to dim. To me this means that Nozomu's power began to fade and so Akira was forced to turn to Wire god. To reach even further, this could represent the time Akira was visitting the old district a bunch, the old district is Wires' domain and so if Akira is spending more time there then it could explain the whole spending more time in the dark thing.