Willie the Duck
Hero
I think it is entirely possible that the design team made the greataxe as it was specifically for savage attacking brutal crit-ing half-orc barbarians. I mean, the lance was clearly designed specifically for 2wf halfling beastmasters and quarterstaves for shield-wielding polearm masters.So unless you’ve got some special mojo going (half-orc barbarians with savage attacks and brutal critical are the most common use case) you’re always better off going for the greatsword.

It's not so dire as sometime made out to be (ex. at first level the difference between 2d6+3 and 1d8+3 can matter), but it certainly seems that the reason to lean into* two-handed strength weapons is mostly for things in addition to what goes on on the weapon chart -- barbarian abilities which only apply with Strength, PAM, GWM, magic weapons distribution, etc.the whole table is a mess,
properties were handed out to some weapons not bothering taking anything in return, read damage die less, non universal thrown weapon range, treating versatile as an actual useful property.
I would say that 2d6 for martial 2Handed, Heavy weapon without any properties is too little, 2d8 would be better as we do not have one and a half STR mod as in 3E.
*And you are strongly incentivized to do so. A generalist build who can switch-hit with any weapon they find who picks up no weapon-type-specific feats is decidedly unfavored.