Depends if you think you can express it to your benefit. I.e. How has Competitive Game Playing helped you better understand QA?
As long as you have a selection of good answers, it probably would help you. Of course you should make sure you express how it is related in your resume.
- Submitted [#] bugs to [company name] relating to [game]
- Used QA Experience to determine [game]'s weak points and exploit them.
- Methodical approaches used in gaming would apply to QA work because of
- - Strong attention to detail,
- - Tree/List building to break down application/game mechanics and determine weak points.
- - Discussions with other players to identify defects over intended game mechanics/Business Logic.
Of course it also matters where you are interviewing. Is this the sort of place you think has a sense of humor? of so, go for it. When I went to work at Microsoft, in QA, I included Foosball on my resume, because I knew they had a table in the break room. I got the offer.
However, it is my experience the the farther east you go, the less people have a sense of humor in the work place.
If they seem more polished, suit wearing, etc... you may want to refrain. Just include what you can easily make your resume work.
Remember, most places don't have a checklist of point-based questions in an interview, so the person who gets the job is the one who makes the best general impression. Having game experience on your resume might give you that memorable/likable edge over the other candidates.