Bankruptcy laws add a lot of value to a functioning capitalism and debtor and obliger are both aware of the laws. Perhaps you don't agree with them or Trump abused them but that's a different story.
Trump was smart in that he likely structured his financial dealings in a way to limit his personal losses, but the banks knew they and Incorporated that into their offer.
But it's true that more recently he has been a celebrity and leased out his name. However, since his name is his primary asset, you can still say he has skin in the game.
Also I would add that Trump's celebrity is due to something in his control. Whether it's because he's a demogouge, visionary or marketer extrodinaire, he is successful on his merits. Taleb would probably contrast that to some academic on an unelected government panel somewhere due to personal connections
Also with respect to Trump being "successful on his merits"... being born into hundreds of millions is better than most connections. More importantly, Taleb isn't talking about success/failure on one's own merits, but taking on risk, and I think that's one of his better points. That's the difference between the "skin in the game" concept and judging based on some abstract idea of meritocracy: people understand that Trump was given advantages in his life, but they respect him because (they perceive!) he's opened himself up to risk and put those earnings, unfairly gotten as they may be, on the line.
Anything specifically that one should see or do you just not like him or his writing?
I agree that there's a serious problem in society of people coasting on their arbitrary degrees/status/reputation in a way that lets them take no responsibility for their mistakes; see Theranos/general examples of VCs focusing on style over meritocracy, see diploma mills and rent-seeking prestige colleges, see Ross Douthat's career (if the mainstream media wants to restore faith and trust, the best thing they could do would be to fire people who continue to screw up...) But the other issue, of resentment against the mandarin class, people waking up and getting angry against those without skin in the game; that's a matter of perception, not reality. Heck, Trump switching to the Apprentice after facing bankruptcy seems exactly the sort of coasting based on arbitrary celebrity Taleb might despise in a different context. If we want to understand the effects of the mandarin class, we should figure out not just who has "skin in the game" or not, but the level of cultural and media fluff that leads people to believe that someone has skin in the game or not.