Earlier quoted context omitted.
There is seriously not that big a difference between the reading level of random comments on the internet and the reading level of the New Yorker, or of the average thinkpiece. Self-styled intellectuals love to pretend that they are writing in a sophisticated secret code language, but that hasn't been true since they quit Latin.
The New Yorker is a classic example of higher level English that is far above the level of “random comments on the internet”. The typical New Yorker article is CEFRL C2 [1] or ILR 3/3+ [2]. Most internet comments are at CEFRL A2 or so, with some (often faulty) more thoughtful responses at B1 or B2. Said another way, your median high schooler can read and understand a typical internet comment, but the median high scho…
The standard ways to measure text complexity in English for native speakers are the Flesch-Kincaid readability and grade level tests. These depend on the length of words and on the number of words in sentences so they're obviously not perfect, in particular they do not measure the use of rare vocabulary or references nor of difficult content.
I tested the OP and found: Flesch reading ease 53.2 (fairly difficult)
Gunning Fog 11 (hard to read)
Flesch-Kincaid Grade Level 10.1 grade
Coleman-Liau 10th grade
SMOG Index 9.6 grade
ARI 9.5 grade
Linsear Write Formula 11.4 grade
Where the references to grade are to American school grades. In other words this text can be read by average American 10th graders without difficulty.
I ran an article from the current New Yorker through as well (the one on Basquiat) and that came out as 11th grade reading level.