Once you set the temperature, the iron remembers it and you can use any power source.
We've spent a lot of time talking to engineers and makers who solder all day, and it turns out that most people rarely change the temperature. Pick a temperature you like and leave it there.
Our heating algorithm detects and dynamically responds to load, so you don't need to turn the temperature up for larger thermal masses: it'll add as many joules as required to get it to temperature.
It's hard to argue because that's mostly what I do. But it feel really odd for a soldering iron not to have a temperature control right on it. Especially given competitor irons have screens and buttons. Going to a web interface seems insane in comparison to pressing some buttons.