Great Weapon Master and it isn't close. Reckless makes GWM so incredibly reliable and you will get plenty of use out of your BA between rage 1st round and crits or kills on subsequent.
The damage you showed is only comparable from the second turn on because on turn one you don't have a BA for PAM. GWM delivers insane damage from turn one. It is the first and most important feat for a Barbarian (You can certainly play a Barb without GWM, you won't burst into flames or anything, but it is invariably weaker to do so).
The first round BA being used on Rage is something I hadn't taken into account. At level 4 PAM will surpass GWM after 2 rounds for targets with an AC of 14 or higher and will surpass GWM after 3 rounds for targets with an AC of 12 or higher.
This changes pretty dramatically in GWM's favor at 5th level because of Extra Attack. at 5th level GWM simply does better damage than PAM even without the BA attack for targets with an AC of 14 or lower. If the target has an AC of 17 then PAM surpasses GWM by round 2 and if the target has an AC of 16 PAM takes 3 rounds to win out.
Note: all of my calculations were based off of the 20 strength the OP had. Things shift in favor of PAM a bit if your strength is lower.
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The first round BA being used on Rage is something I hadn't taken into account. At level 4 PAM will surpass GWM after 2 rounds for targets with an AC of 14 or higher and will surpass GWM after 3 rounds for targets with an AC of 12 or higher.
This changes pretty dramatically in GWM's favor at 5th level because of Extra Attack. at 5th level GWM simply does better damage than PAM even without the BA attack for targets with an AC of 14 or lower. If the target has an AC of 17 then PAM surpasses GWM by round 2 and if the target has an AC of 16 PAM takes 3 rounds to win out.
Note: all of my calculations were based off of the 20 strength the OP had. Things shift in favor of PAM a bit if your strength is lower.