If we can't watch, would it be possible to record the fights so we could see
them in playback-mode? Sure logs are fine too, but way cooler to watch on big
screens in pubs together with other people.

The thing that made gladiator events so popular was that there was something
to watch. If battle royale is between 2 to 4 people and there is no way one
can look at the fight when its going on it is and will be as utterly boring as
reading old logs all by yourself to the ones that are not fighting at the
moment.
If only rule is that first one getting killed loses, I don't see having one or
dozen helpers shouting my enemys hps or whatever tactics he/she is going to
perform too helpful, since these fights prolly won't last that long anyway.
This is just my point of view and I partially understand everyone that doesn't
agree.