Since any map projection is a representation of one of those surfaces on a plane, all map projections distort. Every distinct map projection distorts in a distinct way. The study of map projections is the characterization of these distortions.
If you have the car as collateral, the loan company will take the car. The co-signer is not automatically put on the title, that would be between you and the co-signer. My father co-signed a loan when I was younger, and my name was on the title, not his.
All the risk, very little reward. You might co-sign on a loan for a car you are not driving or a mortgage loan for a house you don't live in, but that doesn't change your liability. Your credit score benefits only slightly from the monthly payments. And since you qualified as a co-signer because of your good credit, you don't necessarily need more credit lines. By co-signing, you take on all the risk if the loan is not repaid but may only see a modest improvement to your credit score.