This is a somewhat compicated question.
First off, just what is "Haze Gray" depends heavily on "when" you are asking about.
The pre-1939 color is significantly lighter thhan after (and there were at least two variations during the War. Before 1920 (or so) there were differences in how "grey" Haze Gray was between Atlantic and Pacific Fleets. Before about 1915, "Navy Gray" was a color closer to Panzergrau. The "Haze Gray" formulation varied from 1948 to the 70s. Specifications were made to Federal Standard refernce, at least until the arrival of CARC pain in the mid-80s and beyond. (Modern USN ships, up close, resemble Star Trek 'Aztek' fnishes.)
Then, there's "scale effect" to consider as well. If you are 12" from a 1/350 model, that the equal of 350'; 700' if a 1/700 scale, and so on. This significantly lightens the colors, and changes the contrasts (this gets very tricky in the contrast between Deck Gray and Flight Deck surfacing--it's whiy I feel "oil canning" is for other modelers to see ).
That's the really technical side of it, at least.
On average, if you sue Neutral Gray for verticals, Gunship Gray for decks, and something darker for Flight Deck surfaces, you get a result that might want some modulation or filters, but makes for a bpretty solid base to work from.
But, that is only my 2¢