I think SCA would have the liability issue, as Ian mentioned. However, I can easily see some "cross faction" things where SCA, WMA, etc, has some members who also start their own group to do this kind of combat.
SCA rattan combat is for the safety aspect, rather than authenticity, so it is what it is. At least they are starting to use more regular looking sword hilts and pommels with duct taped "blades", instead of everyone running around with basket hilts and bare rattan.
Personally, I'd rather see the BOTN style combat become available in a separate organization. I don't care for personas, so I don't want to have to make up and "portray" some fictional historical character just for the sake of combat. An "offshoot" of WMA, or "Extreme WMA", or whatever they want to call it. It's far enough separated from SCA style combat it shouldn't be considered the same.