I disagree.If the agencies tried teaching you 4 different cave diving philosophies, it would just be more confusing than helpful.
Cave diving courses should not only give you basics on how to dive different caves, but also how to dive with different buddies. If I am investing time, money and soul into a cave course, I expect a complete product that will give me ability to go out there and cave dive different places with different people. In the words of kingpin Montoya from “Miami Vice” (the movie): “In this business I don’t buy service, I buy the result”.
Most of us don’t do cave course as a pennant to our ego - we do it to use it in real diving.
Looking back at my cave course, adding a REM/arrows only familiarity would not overburden the already rich curriculum that I had to absorb. It would give me basis to be versatile and switch if situation arises.