As you stated it is a preference. For myself, the differences vary whether you are brining fish, meat or poultry. I use wet brines mainly for fish, and poultry; though I'm looking into dry brining my next turkey - if I can get one that is not already brined. But now I recently read an article in Cook's Illustrated, that indicates that poultry that is processed by a water bath to chill it, may not benefit from wet brining. The results of their testing showed that the poultry did not gain any additional weight after brining. But the article stopped there and didn't check to see if there was an exchange of salt. The conclusion was to only purchase air chilled poultry, or dry brine a water bath chilled poultry. But I digress.
Since there are so many variable, on the type of meat, the thickness and what you are looking for in the final product, the following is for fish only. In general wet brining is faster, no matter what is being brined. I feel that a wet brined product is more moist, but the texture will be softer. Since a brine solution is balanced, it brines all sides evenly. The down side is that wet brining generally requires more refrigerator space.
If you dry brine salmon, you will get a firmer texture.