About as simple as rewiring gets.
For ease of installation I started to set my Weller WES50 soldering station on top of one of the speaker magnets. To my dismay I noticed the indicator LED was going bonkers, and having just recently lost a meter I was not optimistic when I pulled it out and saw a red indicator staring back at me. Temp was still up, so I pulled and switched the wires.
As it turns out, the magnetic field of the driver triggered the temperature lockout setting, which is of course reversible. Funny that feature has remain hidden to me for a decade.