In order to push 1950's TV landscape 20 years back to the 1930's, you need two things to happen:
First there is the technological aspect. Pre-wwII tv sets used a device called a Nipkow disk. Basically this was a spinning disk with holes in that when coupled to a stroboscope at the rear would illuminate a square lune by line and pixel by pixel. This thing was huge and unwieldy. However one of the byproducts of the development of radar in WWII was the cathode ray tube that and the associated electronics that would eventually evolve from an oscilloscope into a TV screen. There was a likewise progress on going on with the tv cameras also. So in short: It took brain effort put into electronics research in WWII to take the TV from experimental technology to practical. Without that, we need another reason to push research in the pre-war years to such a level that practical CRT monitors are available for use in TV's by the mid 1930's. If a company or government would push the development of ship's radar the TV might well come as a byproduct but we're talking about a Rand Corporation style think tank here and other then Edison Corp, Siemens or Howard Hughes, I don't really see anyone with both the resources or the stamina.
Second, and most importantly we need something viable to broadcast. 1950's TV was mainly driven by the 1950's TV shows and the US networks got that one thing right before everyone else. Most non-US state networks just broadcast TV as radio programs with images. So even with action-packed programming such as live sports there really wasn't that much difference between radio and TV, mostly really not enough for a person to invest in a still expensive piece of new technology. I remember being told that the one event that pushed TV into mainstream acceptance in Germany were the 1972 Olympics, being broadcasted live. Beforehand you might find a TV as an expensive plaything in the more affluent households, but for the rest, people relied on radio for their live coverage of events and on the movie theatre for their entertainment. So to push TV to the 1930's you not only need the technology buy also a visionary that understands that the new technology needs a new form of entertainment. Otherwise, the only viable use of television I can think of is for the Nazis to broadcast their goosestep marching parades and for the Soviet Union to blast their propaganda live to every community neighborhood center.
So technology and applications, you need both.