Ok, so people have been bugging me to answer this, cuz I said I would, but I'm really strapped for time, so I'll give the most basic answer I can.
I've been thinking about this post for a while, and tried outlining a response several times, but I finally realized that it was all for nothing, and there's no reason to take this critique nearly so seriously because:
There is almost nothing to criticise about post-leftism, because in trying not to be an ideology (and failing) it just becomes a very weak ideology. Most of post-leftism is just a superficial response to a straw man idea of leftism which hasn't even been relevant in any serious way since like the 60's, making post-leftism an empty critique of an outdated concept that never even really existed. A more accurate title would be "Incorrect Solution to Invented Problem Anarchy".
The only ideological foundation that post-leftism really has is egoism, which includes the rejection of ideology, rights, identity, and all that other stuff that has been so useful in politics, though post-leftists claim it hasn't been, because apparently you either smash the state or you don't, they have no idea of process, goal, or structure. Oh, and everyone ELSE are the ones who are guilty of binary thinking, apparently.
Oh, and egoism is just stupid. It's essentially the idea that everyone is his own god, and if everyone just does whatever, everything will work out in the end. This is hardly even worth addressing because it's just so impractical that the only people who could even begin to take this seriously as total extremists. But overall, egoism is capitalism of the personality, and eventually it leads to capitalism of the society, and capitalism of the economy.
The rejection of ideology makes no practical sense. Again, it's just an incorrect solution to an invented problem. Without ideology, it's impossible to think productively about anything. Post-leftists will argue that if you accept their ridiculously narrow definition of ideology, then they are right, but that's just using their own ideas to verify their own ideas. They might as well be inventing words and inventing defintions for those words, and then arguing with everyone else using those words.
If you disagree with this critique, clearly you don't understand the concept of guhflump, which states that it is epistemologically impossible to disagree with me and be right, because there is no truth except the truth I've created for myself, which is more valid than your truth because I know that I've created it for myself (there's a short intro to Nietzsche for you, on the house).
Stay tuned for downvotes. I'm guessing I'll break my record of -5. By my calculations, I always get 2 or 3 downvotes no matter what I post, because some people just don't like me, then I usually get another 1 or 2 downvotes if I mention post-leftism or Stirner in any way that suggests they aren't absolute truth, and then I usually get another 1 or 2 depending on the actual context and content of the post.