Um, okay this is going to be a reply simply from my own personal opinion, no science or anything.  I don't like personality or identify labels. I don't use them because I don't find them useful. For example, when I first met my wife she said she was a feminist (she didn't bring it up it was something I asked and it was part of a bigger conversation). The only thing that label really meant was she cared somewhat about social issues. She could have been a choice feminist, and egalitarian (I'. thinking she resides here), a humanist, any number of the waves of feminist, or something completely different. We had a deeper conversation just to unpack what she meant by that label.  The label really didn't help us communicate any easier. In fact, it was somewhat dangerous to use, because I could have easily taken it to mean a tumblr feminist and then been focused on how to leave. To answer the question I play league regularly, I have a D&D group tonight, I need to set alarms whenever I sit down to play an Bethesda game or else the next thing I notice might be the sun rising, and my game catalogue is in the triple digits. So when asked I would say I am gamer. I would define gamer as anyone willing to identify as such. The idea of defining a label is weird to me because I honestly pause at the notion of where the authority to define a term comes from. If the definition of a label is a social construct, then words would mean different things depending on which groups of people you are talking to (which I think is mostly the case). At which point the label loses its purpose to facilitate easier communication. Your definition is also vague. A lot of researchers are very busy, and if they have families, they have even less time. Some might work 70 hours a week, need to do chores, have kids to look after, and maybe even aging adults to care. However, if they have one free hour a week they spend gaming and they call themselves a gamer, then I would take them at their word. I didn't get to know enough people there well enough to answer accurately how many would meet your definition. But I was always able to find someone there that could talk about playing a certain games or play something with me.