Burning is allowed, has been allowed, and has been an active part of California forest management for decades.

Bans on small off-road engines and new indoor gas burning appliances are generally driven by health concerns (smog, indoor air quality, and noise pollution), and backed by pretty solid science. Not that global warming isn't also a damn good reason to ban these things.

I'm perfectly fine with politicians who ban convenience devices that cause extreme externalities to other people like smog, excess noise, and childhood asthma. That doesn't seem like a radical left position.