Sigh…
First, the Left — to the extent that the Left can be treated as a unified whole — does not subscribe to the 'blank slate' theory as suggested. It holds that people are politically equal: where each person is due the same rights, liberties, and privileges as every other person, to do with as they will (for good or ill). The primary complaints of those on the Left de-evolve to patronage, racism, or favoritism, where people who are (pardon the language) stupid, incompetent, nut-jobs succeed because they are born into the right family, social circle, race, or gender, while good, intelligent, sane people born into the wrong circumstances fail for exactly the same reason. Leftists advocate true meritocracy, where people 'win' because they are truly capable of winning, not because they are given an unfair advantage at the starting line.
Leftists also tend to believe that losers should be allowed to lose with an element of grace, not be crushed under the heel of the winner. This is where most of the accusations of socialism arise: not because Leftists clamor for absolute equality, but because Leftists demand that 'losers' should still be able to live as human beings, with a degree of comfort and autonomy despite their failures. A coal miner might not be able to succeed to the extent that a coal mine owner does, but shouldn't be condemned to misery, poverty, and black-lung disease for the benefit of the mine owner. Property is a bit of a red-herring, because Marx was only concerned with productive property: property that can be used to produce goods, and optimized by employing non-owner wage-earners to carry out production.
Marx opined: "from each according to his abilities; to each according to his needs". The idea there is that people should be allowed to contribute according to their talents and skills, and be rewarded for that contribution; but that no one should be left 'in need' because they cannot or do not contribute. This means that the elderly and infirm are not tossed into the cold because they cannot work; it means that the poets, philosophers, artists, and other purveyors of cultural potency can provide the intangibles they provide without fear or hardship. There's a value in that incomprehensible to those who think solely in economic terms.
I skimmed your link enough to know it's vapid. If you'd like a deeper critique, I'm happy to provide, but (frankly) you won't enjoy it so I'm refraining.
Keep in mind that many 'Leftists' are middle or upper middle class people who enjoy their privileges in society, but think that everyone else should be able to enjoy them as well. They get fussy and grumpy when they see other groups are subject to oppression because it violates their own sense of self-worth: i.e., they want to be living in a society where everyone has the opportunities they've always enjoyed, and feel ashamed to think they live in a world where they themselves were given an unfair advantage. Rightists tend to be more dog-eat-dog about it, and don't want to share the guilt of privilege — which is understandable, I suppose, though I have a hard time accepting that worldview — and neither view is entirely right or entirely wrong. Inequalities exist (and always have existed) but 'Lefists' tend to believe that those who live in that world should:
- be allowed to capitalize on their superiority regardless of any personal characteristics, and…
- show an element of compassion and grace — or at least old-fashioned good sportsmanship – to those who lose.
It's a hard balance to strike, but well worth the effort.