It isn't clear and there's a case for each.
At first glance, it does appear that there is overlap between the two abilities.
Your Darkvision range is determined by whatever feature/trait/item that provides it. But they are all clear in that it is for things that are within that range.
Physical Range vs Sight Range
But the question is, do they mean physically within that range or within the sight range? There really isn't anything to fully support either and it's going to depend on how a DM interprets it.
Without complicating the scenario by including the Eagle Aspect, it seems like the assumption is about distance. It's that you can see in Darkness to a distance of X.
The language around darkvision states (my emphasis):
Within a specified range, a creature with darkvision can see in darkness as if the darkness were dim light, so areas of darkness are only lightly obscured as far as that creature is concerned.
Again, it's unclear if this is about sight range or physical range. If we take it as physical range, then there is no interaction with Eagle Aspect. Things beyond 100' are still over 100' away.
But if we use it as sight range, then Eagle Aspect triggers:
You gain the eyesight of an eagle. You can see up to 1 mile away with no difficulty, able to discern even fine details as though looking at something no more than 100 feet away from you.
The things over 100' away are still over 100' away, but the Eagle Aspect has you able to see things further as though looking at something no more than 100 feet away. They aren't actually within the 100' range, but you see things that far as clearly as you would if they were actually in range.
This is the key question here: are things that you can see as if they were that close, actually that close to trigger your darkvision?
Considerations on making a ruling
Because of the ambiguity, I do think this is going to be table dependent and to ask the DM. There are good cases for both, but it relies on determining if Darkvision is based on distance or just viewable range.
Rules as Fun seems like this would be something to approve at the table. But if the DM feels that it makes it difficult to run their campaign by providing 1 mile site at any time of day or night, then that's a reasonable call to make.
And in situations where you want to limit (if you do allow it), you can always introduce other weather effects over the concerned area.