Bumping this because this has all the information to settle the OP. Whether you chose to believe it or not is another story.
Okay, the back and forth is fun, but maybe this will help people.
Do wedge grooves cause spin? Yes and No. Sharp deep lines CAN increase friction enough to see a small amount on clean contact.
They do not however directly spin the ball. THe deeper the grooves, the more it can "clean the face" so that clean contact is available for the golf ball. This is why the groove rule was put in place to make being in the rough more penal as the previous grooves eliminated much of that issue.
Grooves (like anything else) where down and because of that slightly close andchannel less debris which creates less spin. Clean sharp grooves whisk away far more than dull, less deep grooves. Now this all assumes clean contact. To give you an example of how the PM grind with unconventional grooves works is that when opening up the wedge, many times contact is made higher and towards the toe and having grooves out there to pull sand and grass away to give you metal on metal contact is important to not have a flyer or knuckle ball.
Milling is aesthetics for the most part, but grooves are very important and there are subtle differences between companies. Now with all of that said, contact is extremely important and will be the number one factor, followed by ball type and of course the clubs used. All combined make up how much spin is imparted on the golf ball.
As to the reason that urethane or surlyn ends up in the grooves is quite simple. THe cover is soft, the friction is real and the grooves are doing what they are supposed to do. Pull debris away. No different than getting grass out of the grooves or sand out of the grooves, which we all have to do on a regular basis.