This has gotten to be way more confusing than necessary.
Think of it this way:
1. One way or another, you are going to be paying for the depreciation of the car. If you buy it (with or without a loan), you will own a car whose value is going down. If you lease it, you are financing the reduction in value from your purchase price to the lower residual value at the end of the lease.
2. One way or another, you are going to be paying for the money that's tied up in the car. If you buy it for cash, you are forfeiting the interest/investment income the cash could be earning. If you take out a car loan OR lease it, someone else's money is tied up in the car, and you are paying that someone else interest on it.
Bottom line is that, lease or buy, finance or not, you're going to be paying for these costs of ownership. The numbers aren't ALL that different either way.
There are certain factors that tend to skew the analysis in one direction or another. If the car is used for business, the lease payments may be tax-deductible. Buying it and taking out a loan is "forced savings". But even taking these factors into account, there is no absolute, clear-cut winner in the analysis. It's close either way. Do whatever you're most comfortable with.