If you want the masters degree because you want the focused education, then go for it.
If you want the masters degree because your career plans include roles where it looks good, then go for it.
If you want the masters degree because you think it will help you find a job easier, or you're trying to bump your wages by a significant amount, don't bother. There will be a very slight benefit to those things, but probably not enough to justify the money, time, and effort involved in getting the degree.
A masters degree in a computer science department -- as opposed to a game school's trade degree program -- will include all the topics many people hate. Those usually revolve around the math-heavy theory classes like compiler theory, algorithm theory, complexity theory, and similar depending on the school's names. The courses are typically mandatory, and some schools require additional qualifying examinations taken a short time after having the course.
There are good reasons for requiring the rigorous courses. The nature of a masters degree is that it implies mastery. Upon earning their masters degree some students immediately begin teaching undergrad students. If the masters degree student does not fully understand those topics they will struggle to teach them, or be unable to explain the concepts well to others.
With the game industry trade school degree all bets are off. For example, CMU's Guildhall offers a "Master of Interactive Technology". They are not a CS degree.
DigiPen offers both options, the traditional degree and the . You can get trade degrees in game design or a masters in digital arts, and you can also choose the more rigorous traditional degrees like a BS or MS in computer science. They will let students transfer to the less-rigorous programs if they were already in a more advanced one, but if you're going through the other way students need to be prepared to show skills in mathematics and academics generally.