It seems like users still carry the idea that CAV is known for high False Positives.
In fact since version 5.8 the FP's rate decreased thanks to submission of users.
HIPS on both products function differently so that would not be a fair comparison.
In terms of lightness, it is CIS. There are users who still say Kaspersky is light. In fact it is light compared to previous versions, not compared to other vendors.
KIS and CIS is basically Paid versus Free as it boils down. Firewall of CIS is actually more advanced than KIS but not everyone touches that subject.
Just my 2 cents