When it comes to wrestling, I've always been a fan. Some of the earliest memories I have are of watching wrestling. When I was a kid, I'd take up any opportunities to watch tapes of Georgia Championship Wrestling, Mid-Atlantic Championship Wrestling, Continental Wrestling Association, World Wrestling Federation, World Class Championship Wrestling, really just about anything I could find. While there aren't as many big companies out there today, there are still plenty that can fill the needs of whatever turns you on.
There are fans that are primarily interested in spotfests and there are companies that feature lots of spots in their matches. Some want tons of blood and hardcore wrestling, some want a little bit of a mix of everything, some prefer companies that have a more "traditional" approach. Basically, whatever you're looking for, it's out there somewhere. It might be a little hard to find at times, but it is out there.
As far as "wrestling fans" go, if you watch pro wrestling then you're a wrestling fan in my opinion. There are far too many wrestling elitists out there that consider people to be not as much of a wrestling fan if they like TNA or WWE rather than some other company. It's bullshit. That's like saying you're not a devoted fan of football if your preferred team is the Chicago Bears rather than the New England Patriots. As with any other sport, of course it's completely expected for different people to have their favorite promotions for whatever the reason might be. There are WWE fans that do harp on TNA even if they've never watched and there are TNA fans that harp on WWE simply because it's the WWE and some ROH fans that harp on both TNA and WWE and so on and so forth. I prefer WWE because I personally think it's an overall stronger company with a roster that I tend to like more with storylines I care more about. I haven't had the opportunity to see an ROH show and my opinion might change if I did. As I don't watch ROH, I hardly ever say anything about it because I don't wanna look like an idiot. At any rate, if you prefer one company over another, it doesn't make you any more or less a wrestling fan, it simply makes you a fan. If you do watch both WWE and TNA and you prefer one over the other, there's nothing wrong with that. If you watch them and think one or both of them is crap, it doesn't make you any less fan. It just means you've got different tastes as to what you're into.