Since it doesn't specify the model of the diode that is being used in the module, i can't tell you the divergence!
You should ask the seller of the modules! :beer:
Yea it looks like he is not being honest about the wavelength. That is a module designed to hold a diode for one as I have a few of them sitting here. The picture shows the how thick the beam is and the color looks 445 to me. Plus I doubt you are going to get a 200mW 470nm for $79.