I can tell you for certain why Santa Fe switched to nose-mounted headlights instead of the higher mount between the number boards. It occurred when units still had conventional cabs and before the "warbonnet" era for modern locomotives.
I was the management representative to the System Cab Committee, which consisted of representatives named to the Committee by various unions. We studied emerging technologies, as well as reports from safety committees and employees.
The operating craft unions on the Valley Division requested that we consider changing the standard headlight location to the front of the nose. From Bakersfield to Richmond, California, they operated in a lot of tule (pronounced TOO-lee) fog at night, which is extremely dense, and occurs almost nightly when the air cools down during certain seasons. Occasionally, they would have occasion to talk with their Southern Pacific counterparts, who did operate locomotives with low mounted headlights and high mounted Gyralites. The SP employees advocated use of the low headlight and they actually had a choice. We modified two locomotives and found that there was definitely a visibility difference in tule fog. The visibility ahead was basically nil when the headlight was mounted high and illuminating the fog at windshield height, but visibility increased to a few hundred feet with the nose mounted light allowing the crew to look over the light instead of directly through the light. The light being closer to the track made it easier to see the ground.
We were preparing to order conventional cab EMD GP60's and GE B40-8's. For some reason I am not privy to, EMD quoted a very high charge for the low mounted headlight. GE's charge was also high for that modification, but less than EMD's, and that prompted the railroad to order the GE's and hold off on ordering the GP60's. Eventually the parties came to terms and the railroad purchased a number of blue and yellow GP60's in the 4000 Class. After that, the Santa Fe standard headlight specification was nose mount. The Mechanical Department made a blunder when the 200 Class SD70M's were ordered, and overlooked the special headlight specification. As a result the locomotives were delivered with high mounted headlights and were never modified. There was an internal dogfight, but it ran its course and things settled down. Most, perhaps all, of that series of locomotives are now retired.