The logo lights are a very good way of keeping your aircraft conspicuous , in a high workload situation the illumnated tail gives a much clearer picture of the direction of travel of the aircraft than the navigation lights.
With all the military intercepts that are happening at the moment then he logo light is a good way of leaving no doubt in the mind of an intercepting fighter pilot that it is a civil airliner that he is dealing with.
For these reasons I would leave the logo lights on unless there is a very good reason not to do so , I know someone out there will tell me that TCAS will tell me about traffic before I see it or it sees me but I see the lights as a very cheap last line of defence.