The molding silicone rubber itself doesn’t contain any oil, so it won’t be oily. If the mold is oily, it may be because of two resons:
1. you add the compound silicone oil( the compound of silicon oil and white oil). The white oil is not silicon oil but a kind of petrochemicals.
2. Your supplier add to much silicone oil when they producing silicone rubber or reducing the hardness of silicone rubber.