It depends on how one approaches "gaming" as the hobby that it is. I simply say, I enjoy "gaming" as a hobby. I do not,
ever, refer to myself as a
gamer, on ANY level.
The issue of it's "status", which sounds like an ontological status, is genuinely suspect. Consuming games, sitting around playing them all the time, and yet, knowing little to nothing about them begs the question as to "what" the hobby aspect may actually be.
I tend to say, that such a person's "hobby" is that of "being" entertained. They are a consumer, not necessarily a hobbyist. Not necessarily a game hobbyist. The key here is one of making a call as to what "hobby grade" actually is. How much "detail" knowledge about some aspect of the hobby signifies more than passing consumerist knowledge.
This visual example should clarify:
Toy Purchased at a Big Box retailer... NOT hobby grade.
Hobby Grade Arial Photography Platform.
Closing let's talk about some american football. Watching football is not a "hobby", rooting for a particular team is better defined as being a "fan". Playing football at an amateur level is a hobby, coaching the young children in the neighborhood could be a hobby.
Learning about a subject and that learning enhancing ones personal (subjective) experience is the beginnings of a hobby. Typically a "hobbyist", after a few years, having accomplished a good bit within the hobby, will have strong peer recognition and "be" referenced by other people in the hobby as "being" somewhat of a sage on the subject.