Re: Who can tell?
"When I check firefox add-ons I have something called Shockwave flash (v19.0 r0). So I don't actually know if this is shockwave or flash or something else?"
Confusing, isn't it?
The Adobe Shockwave Flash product which is at v19.x.x is what's normally just called Flash. While it's buggy there's still a lot of it about, so getting rid of Flash might restrict your ability to see videos.
In Firefox you can set Flash to 'Ask to Activate' so you can turn it on for wanted videos (and see how often you need it) whilst leaving it off for adverts. (Tools->Add-Ons->Plug-ins->Shockwave Flash, choose Ask to Activate in the Activate drop-down.) The ipad/iphone don't support Flash, which drives the growth of alternatives.
Shockwave itself is at v12.x.x. As Psymon noted, it isn't popular now. I deleted the Shockwave plugin the last time it needed updating and I haven't missed it.