Installlment loans, when open, add to your credit mix which is 10% of your score. After they are closed they still factor into your AAoA. These loans have their own utilization which is probably less than 10% of your score. If you default on an installment loan they do hurt you just as much as anything else.
CC is a revolving account.
If you haven't seen this, here is a look at how your different accounts, payment history and all that is looked at. It is general information from FICO: