Yes, its on my Ti Birdy, look at picture below, as you can see, its very small !

For the Supernona tail light with Edelux II, it won't work well since the Edelux II just provide the same voltage output as the dynamo, it only has a switch between the dynamo input and rear light output while the Supernova tail light expect a DC viltage and expect that the standlight is provided by the front light, it has no own stand light supercap -> light will go off as soon as the dynamo stop producing electricity. The BUMM My is made to work directly on a hub dynamo or rim dynamo output and has its own built-in supercap for standlight.