best place is to power the cpu directly, I don't think that's ported though. Next best is the least number of conversions, and that's the battery itself (the one conversion being the voltage regulator/interal 'final' power supply). Next best is two conversions, which is the io port and coax connector, having to go through the charging circuit then through the battery conversion to the cpu. Of these last two I'd more likely choose the coax connector as its durability is higher and resistance is slightly lower due to the better connector...
YBLWV. Or is it just YMMV?