I’m afraid the folks at Pensacola mixed their color schemes with their aircraft configurations - not an uncommon choice for museums in the old days. (I know we had a few aircraft at NASM painted to represent paint schemes they never wore, though that practice became far less common over the last 30 years.)
The highly visible aircraft marked as 72-F-7 was BuNo 1871, a much earlier F4F-3 than 3872. The aircraft on display was probably delivered in overall (wings included) dull aluminum lacquer with black tail planes. (The tail sub-assemblies had been painted before the new aluminum camouflage was added to the contract; BuAer allowed Grumman to attach the black tails without requiring a repaint.) There is a possibility 3872 was one of the first aircraft delivered in overall Light Gray camouflage, though BuAer records suggest this camouflage was a repaint applied at NAS Norfolk.
As for F4F-3 production engines and cowls, here's a rough breakdown based on BuAer and Grumman records. For more details, I unashamedly recommend this book:
https://www.amazon.com/Aircraft-Pictori ... 007&sr=8-1 F3F-3s up to BuNo 1864 – the entire engine cowl was split into an upper half and a lower half. The Carb intake was set above the cowl, with the ducting built into the upper cowl half. (In flight, the ducts proved too weak, collapsing under pressure and choking off carb air. The ducts for the intercoolers were mounted in the lower cowl, with the intakes at the 4:00 and 8:00 positions. A single cowl cooling flap was mounted on each side of the upper half. The engine was the R-1830-76.
F4F-3s 1865 thru 2538 – Introduced a five-piece cowling and slightly larger (20-inch) single cowl flap on either side. The single-piece cowl ring still mounted the carb and intercooler intakes, but all ducting aft of the cowl was secured to the engine mounts rather than the cowl panels. The engine is still the R-1830-76.
F4F-3s 3856 thru 3874 – Continued problems with collapses of the cowl-mounted sections carb intake duct lead Grumman to redesign the cowl ring, moving the carb intake inside and beneath the ring. No other changes.
F4F-3As 3875 thru 3969 – Similar to 1865-2538, but the R-1830-90 and a single-stage supercharger; with no need for intercoolers, the twin intercooler ducts are deleted.
F4F-3s 3970 thru 4057 – Introduce the R-1830-86, reintroduce the intercoolers, intakes, and ducts, redesigned cowl with four flaps per side
F4F-3s 12230 thru 12329 – introduce the new cowl ring and integral carb intake commonly seen on F4F-4s and FM-2s.
So Pensacola's F4F-3 carries an earlier color scheme and a later cowl configuration. Considering the damage to the aircraft's original cowl, and the fact that only 107 aircraft flew with that distinctive cowl, Pensacola's beautiful restoration still falls in the category of "totally reasonable." (I might have had some issues if they'd painted an FM-2 like this!)
Anyway, I hope this helps!
Cheers,
Dana