There is always a team that is Very High in the system. If nobody is showing up as VH, then that means the VH team is a D2 or D3 team showing up as moderate.
If you are the highest on a recruit, then your recruiting efforts will lower the interest a recruit has in a D1.
When battling SIMs, they will give up once they've been knocked to Very Low. So, it can be a good strategy to offer a scholarship and promises as quickly as possible and then perhaps you need to add a few visits to knock them out completely. If it's a human, they are unlikely to give up, and if they have offered a scholarship in the first recruiting period, it will be very tough to defeat them. At my D3 schools, I always give up on a recruit as soon as a D1 offers in the first period and do the same 99% of the time when a D2 offers. There's a chance you can hold off higher schools if they're trying to jump in late, but not when there's that much time left.