Why were the propellers never improved on the OTL P-38 for the entire length of their production run? Despite the ever increasing horsepower ratings of the V-1710 engines with the newer turbochargers and better intercoolers installed on the newer model P-38s. This extra horsepower couldn't be used efficiently by the old propellers.
Here is a video from Greg where this is discussed starting at the 20:10 mark. Greg also mentions the well known reasons against starting production of the P-38K and also mentions the complications and expense of switching ongoing production from the existing Curtiss Electric propellers to the Hamilton Standard high activity hydraulic propellers. AKA paddle-bladed propellers.
Here also is a short excerpt from the Wikipedia article on the P-38 describing the P-38K and mentioning similar reasons why the P38-K was never put into production.
"Two
P-38Ks were developed from 1942 to 1943, one official and one an internal Lockheed experiment. The first was actually a battered RP-38E "piggyback" test mule previously used by Lockheed to test the P-38J chin intercooler installation, now fitted with paddle-bladed "high activity" Hamilton Standard Hydromatic propellers similar to those used on the P-47. The new propellers required
spinners of greater diameter, and the mule's crude, hand-formed sheet steel cowlings were further stretched to blend the spinners into the nacelles. It retained its "piggyback" configuration that allowed an observer to ride behind the pilot. With Lockheed's AAF representative as a passenger and the maneuvering flap deployed to offset Army Hot Day conditions, the old "K-Mule" still climbed to 45,000 feet (14,000 m). With a fresh coat of paint covering its crude, hand-formed steel cowlings, this RP-38E acts as stand-in for the "P-38K-1-LO" in the model's only picture.
[132]
The 12th G model originally set aside as a P-38J prototype was redesignated P-38K-1-LO and fitted with the aforementioned paddle-blade propellers and new Allison V-1710-75/77 (F15R/L) powerplants rated at 1,875 bhp (1,398 kW) at War Emergency Power. These engines were geared 2.36 to 1, unlike the standard P-38 ratio of 2 to 1. The AAF took delivery in September 1943, at
Eglin Field. In tests, the P-38K-1 achieved 432 mph (695 km/h) at military power and was predicted to exceed 450 mph (720 km/h) at War Emergency Power with a similar increase in load and range. The initial climb rate was 4,800 ft (1,500 m)/min and the ceiling was 46,000 ft (14,000 m). It reached 20,000 ft (6,100 m) in five minutes flat; this with a coat of camouflage paint, which added weight and drag. Although it was judged superior in climb and speed to the latest and best fighters from all AAF manufacturers, the War Production Board refused to authorize P-38K production due to the two- to three-week interruption in production necessary to implement cowling modifications for the revised spinners and higher thrust line.
[132] Some had also doubted Allison's ability to deliver the F15 engine in quantity.
[133] As promising as it had looked, the P-38K project came to a halt."
I think many readers are familiar with these events. However the abandoned P-38K model doesn't fully explain why the OTL P-38 was never fitted with more efficient propellers at some point during it's long production run. I don't think it needed to be done as was designed for the P-38K. I think there was a possibility it all could have been done much more simpler, faster and cheaper. I'll describe what I mean by that.
The P-38 didn't necessarily need the Allison 75/77 engines to have paddle-bladed propellers fitted. Any of the later model engine and turbocharger combinations would have sufficed. Once the P-38 had engines that could produce better then about 1300 HP that's when improved propellers were needed to better utilize the increased power.
They didn't have to be Hamilton Standard props. Taking the P-47 as an example the Thunderbolts had their old propellers replaced with paddle-bladed propellers to improve climb rate and speed. The increased power produced by the newer R-2800 engines required a better matching propeller. Replacing the props was simple. The P-47s previously fitted with the older narrow bladed Curtiss Electric props got new paddle bladed Curtis Electric props. Same thing for the P-47s using Hamilton Standard propellers. They got new HS props.
And these exchanges did not require changes to the already installed propeller pitch controls. They did not need to change the engine to propeller gear ratio. And there was no need to make changes to the height of the propeller thrust line. Simply pull off the old narrow bladed prop and mount the new paddle bladed prop. Why couldn't the same thing been done to later P-38 models with their more powerful engines?
The OTL P-38 was using the old narrow bladed Curtis Electric propellers. Curtis Electric was building 4 bladed paddle bladed props for the P-47. How difficult would it have been for them to redesign the 3 bladed propellers they were already producing for the P-38 into a 3 bladed high activity paddle bladed propeller for production?
No need to change anything on the existing P-38 production line. The same Curtis Electric propeller pitch controls would suffice. I don't see any pressing reason to change the engine to propeller gear ratio. And if Curtis Electric can fit the pitch control mechanism into the same size propeller spinner then no need to change the front of the engine cowling. Maybe it would even have been possible to retrofit the P-38s with new paddle bladed propellers in the field same as was done with the P-47.