I thought the emergency was just in case of well, an emergency and stayed dry the remainder of the time.
That is what it is for yes. In case the main siphon occludes, the open channel occludes, or both. Scenario: Siphon occludes. Dry emergency kicks in. Gurgles to alert you, and you fix the problem. Or continues to gurgle till you fix the problem a month later...
The open channel is the final line of defense.
Siphon occludes. Dry emergency kicks in and then occludes: Open channel trips to siphon due to water level rising to cover the air inlet for the open channel. (Which is higher than the inlet to the dry emergency.) No flood. It is the open channel that is the final emergency fail safe. It should never trip to siphon mode unless both the siphon and dry emergency have serious problems.
Really to get a flood from the system, you have to have two fully occluded lines, and a partial third line occlusion, unless it has not been set up right. or you followed bad advice.
Any changes in the trip order, or logic involved, and the system will not function properly. It is not necessary to understand any of this to put the system together and run it properly and safely. It is, however, necessary to have a very solid understanding of how the system is designed, how it is supposed to run, and what causes it to fail in order to advise on design criteria, as well as safe modifications to the system.