Received this response from CS, which explains part of my question:
DI actions matter greatly and will provide much more recruiting credit than a lower school. What you need to keep in mind is that lower schools considering credit is capped until when they can actually sign a recruit. For example, a DIII school cannot sign a DI quality recruit until the last 24 hours of recruiting and a DII school cannot sign a DI quality recruit until the 2nd window. However, they might have the highest interest in the player and technically be at Very High or High but they are only shown as Moderate as they cannot sign yet.
A lower school will not be able to jump on a recruit and take them away from a higher division school. But if they have been putting in effort the entire time they could actually have the lead once able to sign.
So, the reason I had been showing in the lead was that the DIII school's window to sign had not yet opened until the 11pm cycle. Once that hit, the DIII school's ranking is moved from artificially limited to moderate to whatever their effort dictates in comparison to other schools. That said, I still believe that a 15-11 HV lead and a 1-1 CV comparison should be enough for a DI A- school to be dominating any DIII school if the DI school has also added 500+ AP - that's my opinion - understand that is up for debate, but my 2 cents.