It won't be quite as good for pass shooting the doves, but it will suffice. You will be faced with less selection and slightly higher costs for shells with the 16. I like mine for quail, grouse, rabbit, and squirrel. A 20 would work for these also. When you start talking pheasant, duck, goose, or pass shooting, the 12 has a 'leg-up'.
However, having one shotgun in each gauge with each type of action is a goal