As long as your incident metering technique is correct, you will get good shadow detail.
The trick is knowing the circumstances when you can rely on a simple, single meter reading, as compared to those circumstances when you need to take multiple readings and interpolate between them.
The former is most common.
A spot meter requires you to pay more attention to the reflectance of your subject, so it adds more potential sources of confusion.
Of course the really skilled and knowledgeable photographer can use both, even if they may choose to prefer one over the other.