For the compulsory traffic insurance, it's the vehicle that's insured.
But, you have to be careful if you're stopped when driving/riding a "Yabanci" vehicle if your name isn't on the ownership documents. According to the law, only the spouse and immediate family members, with the same surname, are legally entitled to ride/drive a vehicle registered to a Yabanci.
I seem to remember a discussion on a forum a couple of years ago about a married daughter of a Yabanci being fined for driving a vehicle registered to her father.