Gentlemen, I believe you are wrong on the P-40 engines, though these things are tricky so I want to tread carefully. This is what I have:
Allison V-1710-33 / C-15
P-40 / P-40B / P-40C / Hawk 81 / Tomahawk types
Full throttle height is shown as:
1040 hp at 2800 rpm and 37.2" Hg manifold pressure @ 14,500' . [no date]
1040 hp at 3000 rpm and 40" Hg manifold pressure @ 13,600' (5 minute rating) [A second document dated 5 Sep 1941]
This shows military power peaking at 14,300'
This translated to an effective "critical altitude" of about 18,500 ft / 17,000 ft for level flight, (somewhat lower for climbing). Obviously this does vary by temperature and atmospheric conditions, fuel used, and possibly manifold pressure. Top speed for P-40B is shown as 352 mph with 1090 hp and 3,000 rpm @ 15,000' (Apr 26 1941)
Max cruise is at 12,500' and 12,000' respectively for the two documents.
These Hawk 81 types with the C-15 engines
were used by both AVG and (eventually, as higher octane fuel became available) various British and Commonwealth squadrons including 3 RAAF and 112 RAF at unofficial / overboost "War Emergency" power settings of up to 56" Hg. It was just riskier for the engine with the C-15 as it was not specifically strengthened for this.
Allison V-1710-39 / F3R
P-40D / P-40E / Hawk 87 / Early Kittyhawk type
Full throttle height is 2600 RPM and 38.5 " Hg @ 12,000' [flight manual Feb 25 1943, revised April 10, 1943]
This shows military power peaking at 11,800'
This translated to an effective "critical altitude" variously indicated as 15,000 or 16,000', above which performance falls off steeply.
Allison V-1710-73 / F4R
P-40K (and some refurbished P-40E) Hawk 87 Allison (mid-run)
Full throttle height is shown as 1150 hp at 3,000 rpm and 44.2" Hg manifold pressure @ 11,800'. (15 minute rating) [Dec 18 1942, revised Apr 25 1944]
War Emergency Power is shown as 1550 hp at 3,000 rpm and 60" Hg manifold pressure @ Sea Level
Another document shows 1,000 hp at 2600 rpm and 37" Hg manifold pressure at @10,500' and
@ 1,150 hp at 3,000 rpm and 42" Hg at 12,000 ft [ June 25 1942]
This is usually translated as a critical altitude of ~ 15,000 or 14,800 as shown for maximum cruise altitude here. Sometimes it's reported as 16,000 ft, above which performance falls of steeply.
Allison V-1710-81/ -99 / F20R
P-40M and P-40N, Hawk 87 Allison (late)
Full throttle height is shown as 1125 hp at 3,000 rpm and 44.2" Hg manifold pressure @ 17,000 ft (with ram) and 15,000 ft (no ram)
WEP is shown as 1480 hp at 3,000 rpm and 57" Hg @10,000 ft. [Dec 18, 1942]
Maximum cruise is at 16,600 ft.
The nominal critical altitude for P-40M and N depends on the load and weight but is usually shown at about 17-18,000 ft, and they still had decent performance up to about 20,000 ft
I don't know if there was an actual difference is just weight, the impellers are the same size until you get to the P-40M and N types with F20R etc., possibly the slight difference (?) in the supercharger gear ratio C-15 / -33 or the reduction gear (?) but critical altitude is shown consistently as higher. I'd show much more here but alas
WW2AircraftPerformance seems to be down again.
I have impellers at:
9.5" for V-1710-33 with an 8.77:1 ratio
9.5" for V-1710-39 F3R (8.80:1 ratio)
9.5" for V-1710-73 (8.80:1 ratio)
9.5" for V-1710-81 (9.6:1 ratio)