When contrast (or acutance) increases, resolution falls. The reverse is not always valid.
The explanation is simple: increase in contrast means fewer grays. Or, at higher resolutions, even the blackest black and the whitest white show up as very close gray tones, that a high contrast glass or film will not be able to see and record. Contrast (or acutance) means constant-high visibility at lower and middle resolution values, after which this visibility drops abruptly.
Now the reverse: having a low contrast glass doesn’t necessarily mean that it allows high resolution. It simply can be a bad piece of glass. But if it’s a good one, it should do high resolution.
I don't agree.
Increase in contrast means that light is spread less over areas it shouldn't be in.
At higher resolutions, even the blackest black and the whitest white will still be the blackest black and the whitest white.
That increases resolution.
Increase in contrast does not mean fewer grays. Only fewer
false greys. Less, or no, veil over areas that should be black.
Such a veil (that is producing the low contrast in low contrast lenses) is produced by light that should be in highlight areas, so they are reduced in intensity - become more grey - too.
Grey tones are still rendered as grey tones. No light is added nor taken away.
Low contrast lenses do spread light over areas it should not be in.
The veil drowns fine detail, fills troughs between highlight detail, and fills dark detail.
That does not necessarily make them disappear, but will make them less apparent (which is why MTF, a function of contrast against detail size/frequency is used as a measure for lens performance, not resolution or contrast alone).
While high contrast does not mean fewer greys, low contrast does mean fewer blacks (and whites).
So
"When contrast (or acutance) increases, resolution" increases as well.