The reason you still need fume extraction when soldering is the flux, those fumes are quite nasty to inhale. (How nasty varies based on the specific formulation, I recommend using proper ventilation for all of it though.)
(For those who don't know, the flux is there to prevent/clean oxidation and make the solder flow onto the metal pads and pins. Most solder wire contain a core of flux and you can also add additional flux if needed, usually liquid or a paste that melts into a liquid.)