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would this do one speaker (or just one channel on that speaker)?
You could potentially get two channels (e.g. a stereo pair or bass & treble in an active 2-way speaker) by using the outer case as a common ground. If you do this, make sure your common ground is at ground potential and not just the inverse of the positive.
If you're thinking the local ambient temperature is going to be too high for normal cable, you want to ditch the PVC coating, either strip it off or buy uncoated MICC cable.
PTFE cable will withstand 250C and doesn't involve the specialised termination arrangement required to keep the MI inside MICC cables at the open ends. Also, MICC is messy and difficult to cut to length compared with polymer insulated wire.
if I wanted to run some speaker cable behind a wood burner, would this be suitable? and would this do one speaker (or just one channel on that speaker)?
https://www.edwardes.co.uk/products/ccm2l1-5-1-5mm-2c-black-pvc-covered-light-duty-micc-cable-per-metre-