. Remember this was from a guy who had been significantly beaten, which would of made carrying a pole heavy enough a support his under his arm almost impossible.
Yup, and what sense would it make for a criminal to carry perhaps a 10 foot stake to his execution? Then what? They spend the next hour digging a hole? Then nail a person to the stake, try to balance it while filling the hole around the stake, while making sure it's upright? Then removing the stake so the next criminal does it again. No way this happened.
It's so obvious that the stake was permanently placed, an what the criminals carried was the cross bar, which yes would then be lifted along with the criminal and hung on the stake. The stake remains for the next one. Now THAT makes sense.