I to had to get a SVFR to leave L2K
As it's class D then this would be required when the cloudbase was below 1500' or the visibility fell below 5km (with an absolute minimum of 2000m - LFAT local rules, vs 1500m minimum normally in French Class D).
Although ATC can offer a SVFR clearance, it is up to the commander to ensure that (s)he is also operating within the restrictions on their licence.
There's more info in the French VFR Guide available
here.