Peace sNOVA
In essence yes I agree, that corresponds with the idea that the sun when eclipsed does not mean that night has outstripped the day.
To understand the idea of how the moonsets work you will need to do a bit of studying. I do not know of any websites that directly deal or explain this. All I can tell you is that when it is full moon the sunrise coincides roughly with the moonset and during new moons the sunsets around the same time as a moonset that means the moon has to do some running to be able to get from one side of the sky to other within 15 days (half a month).
I’ll have to do some reading up again to get some more info for you as well.