This topic keeps coming up and is always lively!
To my mind, there is no "normal" or "should/shouldn't" regarding this. It just depends on how you like to play. If you like playing like Dave Grohl, expect to replace cymbals and plan for it.
If you're a lighter player, you may never break a cymbal and that's fine; good for you. Most cymbals are designed for sound and playability and have a breaking point. Other cymbals are marketed for heavy hitters, but usually don't play or sound all that great. In the end, all of them have a breaking point.
Gavin Harrison? I'm not surprised at all. Thomas Pridgen I'll bet money he goes through them, and he's a fantastic drummer. Elvin Jones broke cymbals, too, and I doubt anyone's going to launch into a lecture about his poor technique. I believe Bermuda breaks his share while out on tour, as well.
I'll come clean here: I've been playing for 30 years and have probably broken a couple dozen cymbals. The list includes two top hi hats, three rides (two of them Paiste Signatures, and a stubbornly uncrashable Zildjian Medium Ride), and all the rest were crashes - mostly thin or medium thins.
I don't care what any drummer on here, or anywhere else, says about my technique on this. You can dig in your heels all you want and say that cymbals aren't designed to break and only bad technique will cause breakage. Cymbals are designed to be played - that's it. However you like to play and whatever fallout comes from that... it is what it is. I doubt that Zildjian, Sabian, or Paiste minds at all everytime I come looking to buy a new cymbal!
BTW: I'm not interested in vintage cymbals precisely because I'll probably break them eventually and that seems like a shame.