It seems like I fall into these two types of gamblers, but somehow, I don't feel sure about this. But after all, I only gamble for fun and am not one or even both types of gamblers. Apart from that, I am also still learning to control myself, and I can stop myself from gambling too often.
And those two types of gamblers are not the type I feel like I am today. I can gamble several times a week, but I can also refrain from gambling for several weeks or even not gamble for a month or more. So I feel like I'm not part of either type of gambler.
I notice that many users here are the same as you who also falls on both types but I think that's because both types have some similarities in which they define irresponsible gambling, so you are correct that you don't belong to any of them because you are only playing for fun. That is not the same as having fun in video games where we can play for hours.
Gambling addiction can only trigger if one is aiming to win a good amount of money. IMO, it would be better if we can just consider the two types of gamblers here as one and then add another one which is for the gamblers like you and me who are not compulsive. That would make more sense.