Here are some scenarios:
a) 5 mediocre applications in R2, 0 in R3
b) 3 strong applications in R2, 0 in R3
c) Laddered: 3 strong applications in R2, 2 strong applications in R3
While a bit of a strawman, I would cross out a) in your case. However, b)and c) are very similar with the only difference being the activity in the third round. This third round activity increases the chance of an acceptance in your portfolio while having virtually no effect on your activity in the second round.
Is this an accurate description in your case?