in which the machine is too nice, then too harsh

Based on my knowledge of linguistics and word frequency, this analysis appears generally accurate but with some nuances worth considering.

The description correctly identifies that common words (in the 250-500 frequency range) tend to be polysemous (having multiple meanings) and often serve grammatical functions. Words like "open," "together," and "next" do indeed fall into this category.

As the frequency decreases (meaning the words become less common), the trend toward content words (nouns, verbs, adjectives) rather than function words is accurate. The observation that words become more specific and domain-oriented as frequency decreases aligns with linguistic research on vocabulary distribution.

The point about word ranking becoming less meaningful past certain frequency thresholds (around 4000) is astute. At lower frequencies, corpus-specific variations do indeed become more influential, making a single "correct" ordering less feasible.

However, without seeing the specific corpus this analysis is based on, it's difficult to verify the exact placement of example words. Different corpora (written vs. spoken, formal vs. informal, genre-specific, etc.) would yield somewhat different frequency rankings.

In summary, the general principles and patterns described are linguistically sound, though specific word placements would depend on the corpus used.

Word frequency rankings are significantly off. "Hot" and "bed" appear much earlier than the 500 range in standard frequency lists - both typically fall within the top 300-400 words in major corpora.

Your claim that "past that point, it is a flood of nouns, verbs, and adjectives" is demonstrably false. Function words continue to appear regularly throughout the 500-2000 frequency range, including numerous prepositions, conjunctions, and determiners.

"Magazine" is nowhere near the 1000 frequency mark - it typically appears around 1500-2000 in standard frequency lists.

"Combat" is drastically misplaced. It typically appears around the 6000-7000 range, not 4000.

The assertion that a "purely-linear ranking may no longer be meaningful" at 4000 lacks empirical support. Linguistic research shows clear frequency effects well beyond the 10,000 word mark.

Your frequency 10000 examples are particularly problematic - "alloy" typically appears around 15000-20000 in standard frequency lists, while "paintball" is far less common, typically beyond 30000.