Electrical engineers perspective:
Getting the polarity wrong is okay, as long as it is wrong for both speakers. If the polarity is the opposite for each speaker, then you will have sound that is out of phase, which a decent ear will detect. The sound will be diffuse and directionless.
Using small gauge wire like 10B-T cable is fine, as long as the lengths are short, and you are not pushing a lot of power through them. They have higher impedance, so you will lose some high frequency content, and may even cause impedance mismatch at the amplifier's terminals (noticable at high volumes). I am not a proponent of O2 free Cu cable, or welding cables to my speakers, common sense and a good foundation of the physics of what's going on is helpful.
HTH 🙂