I have found with my RCD's switch mode power supplies can cause them to trip without there being a fault as such. It is really the fault of the RCD not the switched mode power supply, mine are rather old fitted in around 1994 and not electronic. The spikes caused by even a poor connection before the RCD can cause them to trip, and resetting one can cause the next door one to trip. All RCD's are not equal.
My first thought however was you have connected line ~ earth instead of line ~ neutral. You can draw 3.45W line ~ earth without tripping a RCD so without a load the electronic transformers would not be taking enough power to trip a RCD. What I would do is connect to a simple plug and test, if they work OK on the plug then clearly a wiring fault.
Because we use AC it is possible cables have a capacitance or inductance which can cause what is seen as an imbalance. In a perfect world we would not run just the line to a switch as this adversely affects the impedance of the feeder, but with 50Hz this is not really a problem. However the simple test with a plug would show if there is some thing odd with wiring.
We tend to call a new device after the device it replaces, be it an electronic transformer, or an electronic ballast, the word electronic is enough to tell most what it really is. Like saying we are taking our car for an MOT which shortly after the MOT was introduced became the DOE and now the DVSA but we still say we are taking our car for a MOT even when that no longer exists. In the electrical trade we still call a wire wound device which isolates a supply, but does not transform the voltage an isolation transformer. That's live. Only when it causes problems, like when traditionally a device which regulates current is called a driver, and because a driver was used with LED's which in the main are current devices, then some one called a device which feeds the driver with a regulated voltage a driver as well. That is an accident waiting to happen. But calling it an electronic transformer rather than a AC power supply is not really a problem. However it does not help finding the problem.
So step one test it with a plug. Lets see the results please.