Yes, the existing laws refer to "smoke" because that's what they were designed to control.
Any new "no-woodburning" law would presumably refer to PM2.5 pollution, because that's what it would be designed to control -- not (visible) smoke, because PM2.5 particles are invisible, they're too small so affect light. Which is also why they're so damaging to health... 😞
Of course the law doesn't have to say *why* it's the law any more than any other law does, it just has to say what the law *is*. Any challenge to it from pro-woodburners would be very unlikely to succeed since the health risks are now scientifically established.
If you want to take the "I should be allowed to burn anything I want" view, then this is exactly the same reason smokers tried to use to fight the bans on smoking in public places and lost, because of the risks of secondary smoking which affects the health of other people other than the smoker.
And if you don't believe in science and are a libertarian who distrusts the nanny state and namby-pamby society -- tough, part of the job of a responsible government (and society) is to stop people doing things that harm other people without their consent... 😉