Generally yes it would be quicker.Bonus question: Does she get her PR faster if she comes from Norway than if she would from, say, Botswana? just curious
However since you're getting married just 5 months or so after first meeting, and as you said it's mainly just to speed up immigration , a visa officer may see this as a marriage of convenience and cause your application time to be longer by requiring an interview. You better have ample evidence that the relationship and marriage is genuine and not just for immigration purposes.