Burczak wants to supplement the markets with redistributive policies—he would stake all citizens to a rather large hunk of tax-funded wealth
This is universal benefits aka citizen wages aka... This gives everyone the birthright of a stake in the "land", the stake coming from land value tax, the more of the country resource you use the more you pay, this way everyone starts off on a good enough footing that they have no excuse.

"he argues, promote broader access to the marketplace and enhance the chances that people will live “choiceworthy” lives."
"Promotes"? I would say that guarantees access for someone who would otherwise be begging. "Choiceworthy"? I don't see that their values will necessarily change.

"Burczak's socialist vision"
"I take both men as canonical of the Austrian position"
I guess you shouldn't.

"stolen property"
Enough said.

I'm not familiar with these ideas of Burczak, they sound odd, not Austrian.