Where is he talking about it as if he did? Don't the parts you quoted make it clear he has not?
As I said in the comment above, reading a paper has never been a good way of understanding what is in it; usually you either have someone give a talk or get it explained to you. Besides, as in another thread above (https://news.ycombinator.com/item?id=50195392), what matters here is not what the paper says, but whether an o(n log n) algorithm exists. Harvey's write-up is about some (new) intuition around why we should expect one (i.e. why we should expect something like the paper's proposed algorithm to be correct).
To be specific: is your problem that, having been provoked by the announcement into thinking more carefully about the problem, he has shared whatever understanding he has arrived at, without literally reading every word of the (poorly written) paper? Why is that a problem, according to you?
As I said in the comment above, reading a paper has never been a good way of understanding what is in it; usually you either have someone give a talk or get it explained to you. Besides, as in another thread above (https://news.ycombinator.com/item?id=50195392), what matters here is not what the paper says, but whether an o(n log n) algorithm exists. Harvey's write-up is about some (new) intuition around why we should expect one (i.e. why we should expect something like the paper's proposed algorithm to be correct).
To be specific: is your problem that, having been provoked by the announcement into thinking more carefully about the problem, he has shared whatever understanding he has arrived at, without literally reading every word of the (poorly written) paper? Why is that a problem, according to you?