There are all sorts of issues with carrying a sword in public.
Even if sheathed?
In Australia at least, even with unsharpened edges, sheathed, and in a bag. Australian
taijiquan and other martial-arts groups have been trying to get this sorted out for years. Basically, it is down to the judgement of the individual police officers you happen to bump into, so it is best to carry your sword in a bag that conceals its shape.
I find it insulting in the same way I find sport/olympic fencing insulting. One does not take a weapon art and making an amusing game out of it.
So... Olympic 50m pistol is out? Clay pigeon shooting? Biathlon? The sort of shooting contest depicted in
Magnum Force (I don't know what it would properly be called)? Don't you and your shooting-buddies compete for scores, or who can shoot the smallest group, or whatever? How do you train in any martial art, armed or weaponless, without making it essentially a game? You can't actually
deliver lethal strokes on the practice mat, so the process becomes a competition for touches or points. On the other hand, for example, many traditional
shifu do take a dim view of competition styles which are pretty much
wholly divorced from martial training,
no matter how skilled the practitioners (and Chai Fong Ying is very very good)..
What on earth is Faye
wearing? Is this actually a style in the USA? The colour is good for her, but... It also seems to be "wear white belts to work day", and white belts are naff IMHO, but YMMV of course.