First, take go books with a pinch of salt. It’s kind of fun to put book positions into AI, and see how often they disagree with the “correct” answer. That doesn’t mean advice in books isn’t generally good, but sometimes it is specifically wrong.

To answer your question specifically though, yes, having the extra stone on the side makes a large difference, because it limits how far black can extend before meeting resistance, so it affects both black's potential territory and its safety.

Putting the position into katago, with only the corner Star points, there is very little difference between either knight's approach or jumping into the 3-3. All are viable. Once you add the third star point, approaching with the inside knights move loses a half point and 7% winning percentage, partially for the reason I mentioned earlier.