the only advantage I see with a Tiguan is its physically bigger.
VW did some cost cutting where you can't "see". for example, the engine is an iron block with an alum head. The CR V is all aluminum.
When you test one, test it really well on the road, Reviewers say the driving dynamics on the VW is poor compared to the CR-V
The CR-V is faster, lighter, and gets better mileage and the legendary Honda reliability and quality that VW lacks.
Its heavier and lacks "oomph" according to initial reviews, but they also state it has a nice ride and is quiet.